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Finding the Fourth Proportional to 75,735.40, 113,531.10 and 28,337.80

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Solution

The fourth proportional to 75,735.40, 113,531.10 and 28,337.80 is: 42,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,735.40 : 113,531.10 = 28,337.80 : x
  2. Step 2: Convert to fraction form
    75,735.40/113,531.10 = 28,337.80/x
  3. Step 3: Cross multiply
    75,735.40x = 113,531.10 × 28,337.80
  4. Step 4: Simplify right side
    75,735.40x = 3,217,221,605.58
  5. Step 5: Solve for x
    x = 3,217,221,605.58/75,735.40
  6. Step 6: Final answer
    x = 42,479.76

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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.