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Finding the Fourth Proportional to 32,507.90, 48,761.85 and 30,320.90

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Solution

The fourth proportional to 32,507.90, 48,761.85 and 30,320.90 is: 45,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.90 : 48,761.85 = 30,320.90 : x
  2. Step 2: Convert to fraction form
    32,507.90/48,761.85 = 30,320.90/x
  3. Step 3: Cross multiply
    32,507.90x = 48,761.85 × 30,320.90
  4. Step 4: Simplify right side
    32,507.90x = 1,478,503,177.67
  5. Step 5: Solve for x
    x = 1,478,503,177.67/32,507.90
  6. Step 6: Final answer
    x = 45,481.35

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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.