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Finding the Fourth Proportional to 83,565.55, 115,320.99 and 47,756.89

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Solution

The fourth proportional to 83,565.55, 115,320.99 and 47,756.89 is: 65,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,565.55 : 115,320.99 = 47,756.89 : x
  2. Step 2: Convert to fraction form
    83,565.55/115,320.99 = 47,756.89/x
  3. Step 3: Cross multiply
    83,565.55x = 115,320.99 × 47,756.89
  4. Step 4: Simplify right side
    83,565.55x = 5,507,371,834.12
  5. Step 5: Solve for x
    x = 5,507,371,834.12/83,565.55
  6. Step 6: Final answer
    x = 65,904.81

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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.