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Finding the Fourth Proportional to 107,681.52, 161,543.88 and 37,542

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Solution

The fourth proportional to 107,681.52, 161,543.88 and 37,542 is: 56,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,681.52 : 161,543.88 = 37,542 : x
  2. Step 2: Convert to fraction form
    107,681.52/161,543.88 = 37,542/x
  3. Step 3: Cross multiply
    107,681.52x = 161,543.88 × 37,542
  4. Step 4: Simplify right side
    107,681.52x = 6,064,680,342.96
  5. Step 5: Solve for x
    x = 6,064,680,342.96/107,681.52
  6. Step 6: Final answer
    x = 56,320.53

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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.