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Finding the Fourth Proportional to 63,874.32, 88,149.24 and 35,580

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Solution

The fourth proportional to 63,874.32, 88,149.24 and 35,580 is: 49,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,874.32 : 88,149.24 = 35,580 : x
  2. Step 2: Convert to fraction form
    63,874.32/88,149.24 = 35,580/x
  3. Step 3: Cross multiply
    63,874.32x = 88,149.24 × 35,580
  4. Step 4: Simplify right side
    63,874.32x = 3,136,349,959.20
  5. Step 5: Solve for x
    x = 3,136,349,959.20/63,874.32
  6. Step 6: Final answer
    x = 49,101.89

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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.