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Finding the Fourth Proportional to 74,761.86, 111,595.80 and 65,904.42

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Solution

The fourth proportional to 74,761.86, 111,595.80 and 65,904.42 is: 98,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,761.86 : 111,595.80 = 65,904.42 : x
  2. Step 2: Convert to fraction form
    74,761.86/111,595.80 = 65,904.42/x
  3. Step 3: Cross multiply
    74,761.86x = 111,595.80 × 65,904.42
  4. Step 4: Simplify right side
    74,761.86x = 7,354,656,473.44
  5. Step 5: Solve for x
    x = 7,354,656,473.44/74,761.86
  6. Step 6: Final answer
    x = 98,374.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.