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Finding the Fourth Proportional to 38,539.53, 57,812.94 and 15,160.50

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Solution

The fourth proportional to 38,539.53, 57,812.94 and 15,160.50 is: 22,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539.53 : 57,812.94 = 15,160.50 : x
  2. Step 2: Convert to fraction form
    38,539.53/57,812.94 = 15,160.50/x
  3. Step 3: Cross multiply
    38,539.53x = 57,812.94 × 15,160.50
  4. Step 4: Simplify right side
    38,539.53x = 876,473,076.87
  5. Step 5: Solve for x
    x = 876,473,076.87/38,539.53
  6. Step 6: Final answer
    x = 22,742.18

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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.