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Finding the Fourth Proportional to 95,167.77, 142,755.15 and 31,990.05

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Solution

The fourth proportional to 95,167.77, 142,755.15 and 31,990.05 is: 47,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,167.77 : 142,755.15 = 31,990.05 : x
  2. Step 2: Convert to fraction form
    95,167.77/142,755.15 = 31,990.05/x
  3. Step 3: Cross multiply
    95,167.77x = 142,755.15 × 31,990.05
  4. Step 4: Simplify right side
    95,167.77x = 4,566,744,386.26
  5. Step 5: Solve for x
    x = 4,566,744,386.26/95,167.77
  6. Step 6: Final answer
    x = 47,986.25

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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.