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Finding the Fourth Proportional to 83,565.93, 115,319.16 and 47,262.58

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Solution

The fourth proportional to 83,565.93, 115,319.16 and 47,262.58 is: 65,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,565.93 : 115,319.16 = 47,262.58 : x
  2. Step 2: Convert to fraction form
    83,565.93/115,319.16 = 47,262.58/x
  3. Step 3: Cross multiply
    83,565.93x = 115,319.16 × 47,262.58
  4. Step 4: Simplify right side
    83,565.93x = 5,450,281,025.03
  5. Step 5: Solve for x
    x = 5,450,281,025.03/83,565.93
  6. Step 6: Final answer
    x = 65,221.33

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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.