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Finding the Fourth Proportional to 29,713.68, 44,565.84 and 8,932.32

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Solution

The fourth proportional to 29,713.68, 44,565.84 and 8,932.32 is: 13,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.68 : 44,565.84 = 8,932.32 : x
  2. Step 2: Convert to fraction form
    29,713.68/44,565.84 = 8,932.32/x
  3. Step 3: Cross multiply
    29,713.68x = 44,565.84 × 8,932.32
  4. Step 4: Simplify right side
    29,713.68x = 398,076,343.95
  5. Step 5: Solve for x
    x = 398,076,343.95/29,713.68
  6. Step 6: Final answer
    x = 13,397.07

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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.