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Finding the Fourth Proportional to 75,091.12, 103,596.32 and 48,229.92

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Solution

The fourth proportional to 75,091.12, 103,596.32 and 48,229.92 is: 66,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,091.12 : 103,596.32 = 48,229.92 : x
  2. Step 2: Convert to fraction form
    75,091.12/103,596.32 = 48,229.92/x
  3. Step 3: Cross multiply
    75,091.12x = 103,596.32 × 48,229.92
  4. Step 4: Simplify right side
    75,091.12x = 4,996,442,225.89
  5. Step 5: Solve for x
    x = 4,996,442,225.89/75,091.12
  6. Step 6: Final answer
    x = 66,538.39

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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.