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Finding the Fourth Proportional to 75,229.76, 103,814.52 and 43,397.84

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Solution

The fourth proportional to 75,229.76, 103,814.52 and 43,397.84 is: 59,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,229.76 : 103,814.52 = 43,397.84 : x
  2. Step 2: Convert to fraction form
    75,229.76/103,814.52 = 43,397.84/x
  3. Step 3: Cross multiply
    75,229.76x = 103,814.52 × 43,397.84
  4. Step 4: Simplify right side
    75,229.76x = 4,505,325,928.64
  5. Step 5: Solve for x
    x = 4,505,325,928.64/75,229.76
  6. Step 6: Final answer
    x = 59,887.55

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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.