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Finding the Fourth Proportional to 83,468.64, 125,203.14 and 24,305.72

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Solution

The fourth proportional to 83,468.64, 125,203.14 and 24,305.72 is: 36,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,468.64 : 125,203.14 = 24,305.72 : x
  2. Step 2: Convert to fraction form
    83,468.64/125,203.14 = 24,305.72/x
  3. Step 3: Cross multiply
    83,468.64x = 125,203.14 × 24,305.72
  4. Step 4: Simplify right side
    83,468.64x = 3,043,152,463.96
  5. Step 5: Solve for x
    x = 3,043,152,463.96/83,468.64
  6. Step 6: Final answer
    x = 36,458.63

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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.