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Finding the Fourth Proportional to 73,614.66, 110,363.49 and 32,032.50

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Solution

The fourth proportional to 73,614.66, 110,363.49 and 32,032.50 is: 48,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,614.66 : 110,363.49 = 32,032.50 : x
  2. Step 2: Convert to fraction form
    73,614.66/110,363.49 = 32,032.50/x
  3. Step 3: Cross multiply
    73,614.66x = 110,363.49 × 32,032.50
  4. Step 4: Simplify right side
    73,614.66x = 3,535,218,493.43
  5. Step 5: Solve for x
    x = 3,535,218,493.43/73,614.66
  6. Step 6: Final answer
    x = 48,023.29

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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.