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Finding the Fourth Proportional to 48,376.80, 72,478.80 and 41,464.80

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Solution

The fourth proportional to 48,376.80, 72,478.80 and 41,464.80 is: 62,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,376.80 : 72,478.80 = 41,464.80 : x
  2. Step 2: Convert to fraction form
    48,376.80/72,478.80 = 41,464.80/x
  3. Step 3: Cross multiply
    48,376.80x = 72,478.80 × 41,464.80
  4. Step 4: Simplify right side
    48,376.80x = 3,005,318,946.24
  5. Step 5: Solve for x
    x = 3,005,318,946.24/48,376.80
  6. Step 6: Final answer
    x = 62,123.14

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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.