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Finding the Fourth Proportional to 32,526.75, 44,862.14 and 27,997.14

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Solution

The fourth proportional to 32,526.75, 44,862.14 and 27,997.14 is: 38,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,526.75 : 44,862.14 = 27,997.14 : x
  2. Step 2: Convert to fraction form
    32,526.75/44,862.14 = 27,997.14/x
  3. Step 3: Cross multiply
    32,526.75x = 44,862.14 × 27,997.14
  4. Step 4: Simplify right side
    32,526.75x = 1,256,011,459.96
  5. Step 5: Solve for x
    x = 1,256,011,459.96/32,526.75
  6. Step 6: Final answer
    x = 38,614.73

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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.