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Finding the Fourth Proportional to 83,575.80, 115,344.81 and 47,767.32

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Solution

The fourth proportional to 83,575.80, 115,344.81 and 47,767.32 is: 65,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,575.80 : 115,344.81 = 47,767.32 : x
  2. Step 2: Convert to fraction form
    83,575.80/115,344.81 = 47,767.32/x
  3. Step 3: Cross multiply
    83,575.80x = 115,344.81 × 47,767.32
  4. Step 4: Simplify right side
    83,575.80x = 5,509,712,449.61
  5. Step 5: Solve for x
    x = 5,509,712,449.61/83,575.80
  6. Step 6: Final answer
    x = 65,924.73

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1.5x scale

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.