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Finding the Fourth Proportional to 95,250, 142,878.42 and 36,090

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Solution

The fourth proportional to 95,250, 142,878.42 and 36,090 is: 54,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,250 : 142,878.42 = 36,090 : x
  2. Step 2: Convert to fraction form
    95,250/142,878.42 = 36,090/x
  3. Step 3: Cross multiply
    95,250x = 142,878.42 × 36,090
  4. Step 4: Simplify right side
    95,250x = 5,156,482,177.80
  5. Step 5: Solve for x
    x = 5,156,482,177.80/95,250
  6. Step 6: Final answer
    x = 54,136.30

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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.