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Finding the Fourth Proportional to 83,807.32, 125,711 and 24,643.28

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Solution

The fourth proportional to 83,807.32, 125,711 and 24,643.28 is: 36,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,807.32 : 125,711 = 24,643.28 : x
  2. Step 2: Convert to fraction form
    83,807.32/125,711 = 24,643.28/x
  3. Step 3: Cross multiply
    83,807.32x = 125,711 × 24,643.28
  4. Step 4: Simplify right side
    83,807.32x = 3,097,931,372.08
  5. Step 5: Solve for x
    x = 3,097,931,372.08/83,807.32
  6. Step 6: Final answer
    x = 36,964.93

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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.