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Finding the Fourth Proportional to 83,159.64, 124,735.41 and 30,565.80

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Solution

The fourth proportional to 83,159.64, 124,735.41 and 30,565.80 is: 45,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,159.64 : 124,735.41 = 30,565.80 : x
  2. Step 2: Convert to fraction form
    83,159.64/124,735.41 = 30,565.80/x
  3. Step 3: Cross multiply
    83,159.64x = 124,735.41 × 30,565.80
  4. Step 4: Simplify right side
    83,159.64x = 3,812,637,594.98
  5. Step 5: Solve for x
    x = 3,812,637,594.98/83,159.64
  6. Step 6: Final answer
    x = 45,847.21

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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.