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Finding the Fourth Proportional to 74,614.52, 111,921.78 and 24,681.20

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Solution

The fourth proportional to 74,614.52, 111,921.78 and 24,681.20 is: 37,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614.52 : 111,921.78 = 24,681.20 : x
  2. Step 2: Convert to fraction form
    74,614.52/111,921.78 = 24,681.20/x
  3. Step 3: Cross multiply
    74,614.52x = 111,921.78 × 24,681.20
  4. Step 4: Simplify right side
    74,614.52x = 2,762,363,836.54
  5. Step 5: Solve for x
    x = 2,762,363,836.54/74,614.52
  6. Step 6: Final answer
    x = 37,021.80

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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.