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Finding the Fourth Proportional to 76,624.60, 114,928.80 and 24,031.30

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Solution

The fourth proportional to 76,624.60, 114,928.80 and 24,031.30 is: 36,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,624.60 : 114,928.80 = 24,031.30 : x
  2. Step 2: Convert to fraction form
    76,624.60/114,928.80 = 24,031.30/x
  3. Step 3: Cross multiply
    76,624.60x = 114,928.80 × 24,031.30
  4. Step 4: Simplify right side
    76,624.60x = 2,761,888,471.44
  5. Step 5: Solve for x
    x = 2,761,888,471.44/76,624.60
  6. Step 6: Final answer
    x = 36,044.41

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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.