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Finding the Fourth Proportional to 53,432, 73,735.34 and 38,146.76

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Solution

The fourth proportional to 53,432, 73,735.34 and 38,146.76 is: 52,641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,432 : 73,735.34 = 38,146.76 : x
  2. Step 2: Convert to fraction form
    53,432/73,735.34 = 38,146.76/x
  3. Step 3: Cross multiply
    53,432x = 73,735.34 × 38,146.76
  4. Step 4: Simplify right side
    53,432x = 2,812,764,318.50
  5. Step 5: Solve for x
    x = 2,812,764,318.50/53,432
  6. Step 6: Final answer
    x = 52,641.94

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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.