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Finding the Fourth Proportional to 52,042.50, 71,818.65 and 29,686.50

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Solution

The fourth proportional to 52,042.50, 71,818.65 and 29,686.50 is: 40,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,042.50 : 71,818.65 = 29,686.50 : x
  2. Step 2: Convert to fraction form
    52,042.50/71,818.65 = 29,686.50/x
  3. Step 3: Cross multiply
    52,042.50x = 71,818.65 × 29,686.50
  4. Step 4: Simplify right side
    52,042.50x = 2,132,044,353.23
  5. Step 5: Solve for x
    x = 2,132,044,353.23/52,042.50
  6. Step 6: Final answer
    x = 40,967.37

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1.5x scale

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.