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Finding the Fourth Proportional to 57,637.76, 86,381.28 and 29,534

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Solution

The fourth proportional to 57,637.76, 86,381.28 and 29,534 is: 44,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,637.76 : 86,381.28 = 29,534 : x
  2. Step 2: Convert to fraction form
    57,637.76/86,381.28 = 29,534/x
  3. Step 3: Cross multiply
    57,637.76x = 86,381.28 × 29,534
  4. Step 4: Simplify right side
    57,637.76x = 2,551,184,723.52
  5. Step 5: Solve for x
    x = 2,551,184,723.52/57,637.76
  6. Step 6: Final answer
    x = 44,262.38

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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.