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Finding the Fourth Proportional to 48,697.80, 73,046.70 and 31,115.40

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Solution

The fourth proportional to 48,697.80, 73,046.70 and 31,115.40 is: 46,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,697.80 : 73,046.70 = 31,115.40 : x
  2. Step 2: Convert to fraction form
    48,697.80/73,046.70 = 31,115.40/x
  3. Step 3: Cross multiply
    48,697.80x = 73,046.70 × 31,115.40
  4. Step 4: Simplify right side
    48,697.80x = 2,272,877,289.18
  5. Step 5: Solve for x
    x = 2,272,877,289.18/48,697.80
  6. Step 6: Final answer
    x = 46,673.10

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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.