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Finding the Fourth Proportional to 32,914, 45,380.15 and 27,470.94

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Solution

The fourth proportional to 32,914, 45,380.15 and 27,470.94 is: 37,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914 : 45,380.15 = 27,470.94 : x
  2. Step 2: Convert to fraction form
    32,914/45,380.15 = 27,470.94/x
  3. Step 3: Cross multiply
    32,914x = 45,380.15 × 27,470.94
  4. Step 4: Simplify right side
    32,914x = 1,246,635,013.59
  5. Step 5: Solve for x
    x = 1,246,635,013.59/32,914
  6. Step 6: Final answer
    x = 37,875.52

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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.