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Finding the Fourth Proportional to 38,254.28, 57,381.42 and 13,613

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Solution

The fourth proportional to 38,254.28, 57,381.42 and 13,613 is: 20,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254.28 : 57,381.42 = 13,613 : x
  2. Step 2: Convert to fraction form
    38,254.28/57,381.42 = 13,613/x
  3. Step 3: Cross multiply
    38,254.28x = 57,381.42 × 13,613
  4. Step 4: Simplify right side
    38,254.28x = 781,133,270.46
  5. Step 5: Solve for x
    x = 781,133,270.46/38,254.28
  6. Step 6: Final answer
    x = 20,419.50

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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.