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Finding the Fourth Proportional to 74,498.70, 111,685.05 and 32,346.96

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Solution

The fourth proportional to 74,498.70, 111,685.05 and 32,346.96 is: 48,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,498.70 : 111,685.05 = 32,346.96 : x
  2. Step 2: Convert to fraction form
    74,498.70/111,685.05 = 32,346.96/x
  3. Step 3: Cross multiply
    74,498.70x = 111,685.05 × 32,346.96
  4. Step 4: Simplify right side
    74,498.70x = 3,612,671,844.95
  5. Step 5: Solve for x
    x = 3,612,671,844.95/74,498.70
  6. Step 6: Final answer
    x = 48,493.09

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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.