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Finding the Fourth Proportional to 95,032.80, 142,580.86 and 31,859.16

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Solution

The fourth proportional to 95,032.80, 142,580.86 and 31,859.16 is: 47,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,032.80 : 142,580.86 = 31,859.16 : x
  2. Step 2: Convert to fraction form
    95,032.80/142,580.86 = 31,859.16/x
  3. Step 3: Cross multiply
    95,032.80x = 142,580.86 × 31,859.16
  4. Step 4: Simplify right side
    95,032.80x = 4,542,506,431.68
  5. Step 5: Solve for x
    x = 4,542,506,431.68/95,032.80
  6. Step 6: Final answer
    x = 47,799.35

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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.