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Finding the Fourth Proportional to 32,042.55, 48,061.38 and 8,668.38

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Solution

The fourth proportional to 32,042.55, 48,061.38 and 8,668.38 is: 13,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042.55 : 48,061.38 = 8,668.38 : x
  2. Step 2: Convert to fraction form
    32,042.55/48,061.38 = 8,668.38/x
  3. Step 3: Cross multiply
    32,042.55x = 48,061.38 × 8,668.38
  4. Step 4: Simplify right side
    32,042.55x = 416,614,305.16
  5. Step 5: Solve for x
    x = 416,614,305.16/32,042.55
  6. Step 6: Final answer
    x = 13,001.91

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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.