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Finding the Fourth Proportional to 56,807.70, 78,388.20 and 32,929.44

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Solution

The fourth proportional to 56,807.70, 78,388.20 and 32,929.44 is: 45,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,807.70 : 78,388.20 = 32,929.44 : x
  2. Step 2: Convert to fraction form
    56,807.70/78,388.20 = 32,929.44/x
  3. Step 3: Cross multiply
    56,807.70x = 78,388.20 × 32,929.44
  4. Step 4: Simplify right side
    56,807.70x = 2,581,279,528.61
  5. Step 5: Solve for x
    x = 2,581,279,528.61/56,807.70
  6. Step 6: Final answer
    x = 45,438.90

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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.