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Finding the Fourth Proportional to 48,388,972.80, 72,499,478.40 and 31,340,870.40

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Solution

The fourth proportional to 48,388,972.80, 72,499,478.40 and 31,340,870.40 is: 46,956,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,388,972.80 : 72,499,478.40 = 31,340,870.40 : x
  2. Step 2: Convert to fraction form
    48,388,972.80/72,499,478.40 = 31,340,870.40/x
  3. Step 3: Cross multiply
    48,388,972.80x = 72,499,478.40 × 31,340,870.40
  4. Step 4: Simplify right side
    48,388,972.80x = 2,272,196,756,601,999.50
  5. Step 5: Solve for x
    x = 2,272,196,756,601,999.50/48,388,972.80
  6. Step 6: Final answer
    x = 46,956,912.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.