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Finding the Fourth Proportional to 75,773.62, 104,565.58 and 41,781.53

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Solution

The fourth proportional to 75,773.62, 104,565.58 and 41,781.53 is: 57,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,773.62 : 104,565.58 = 41,781.53 : x
  2. Step 2: Convert to fraction form
    75,773.62/104,565.58 = 41,781.53/x
  3. Step 3: Cross multiply
    75,773.62x = 104,565.58 × 41,781.53
  4. Step 4: Simplify right side
    75,773.62x = 4,368,909,917.74
  5. Step 5: Solve for x
    x = 4,368,909,917.74/75,773.62
  6. Step 6: Final answer
    x = 57,657.40

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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.