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Finding the Fourth Proportional to 50,932.71, 70,287.12 and 29,707.88

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Solution

The fourth proportional to 50,932.71, 70,287.12 and 29,707.88 is: 40,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,932.71 : 70,287.12 = 29,707.88 : x
  2. Step 2: Convert to fraction form
    50,932.71/70,287.12 = 29,707.88/x
  3. Step 3: Cross multiply
    50,932.71x = 70,287.12 × 29,707.88
  4. Step 4: Simplify right side
    50,932.71x = 2,088,080,975.07
  5. Step 5: Solve for x
    x = 2,088,080,975.07/50,932.71
  6. Step 6: Final answer
    x = 40,996.86

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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.