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Finding the Fourth Proportional to 83,807.52, 125,827.92 and 42,283.68

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Solution

The fourth proportional to 83,807.52, 125,827.92 and 42,283.68 is: 63,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,807.52 : 125,827.92 = 42,283.68 : x
  2. Step 2: Convert to fraction form
    83,807.52/125,827.92 = 42,283.68/x
  3. Step 3: Cross multiply
    83,807.52x = 125,827.92 × 42,283.68
  4. Step 4: Simplify right side
    83,807.52x = 5,320,467,504.35
  5. Step 5: Solve for x
    x = 5,320,467,504.35/83,807.52
  6. Step 6: Final answer
    x = 63,484.37

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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.