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Finding the Fourth Proportional to 53,754.38, 74,177.53 and 29,880.17

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Solution

The fourth proportional to 53,754.38, 74,177.53 and 29,880.17 is: 41,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,754.38 : 74,177.53 = 29,880.17 : x
  2. Step 2: Convert to fraction form
    53,754.38/74,177.53 = 29,880.17/x
  3. Step 3: Cross multiply
    53,754.38x = 74,177.53 × 29,880.17
  4. Step 4: Simplify right side
    53,754.38x = 2,216,436,760.99
  5. Step 5: Solve for x
    x = 2,216,436,760.99/53,754.38
  6. Step 6: Final answer
    x = 41,232.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.