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Finding the Fourth Proportional to 75,498.21, 113,197.50 and 42,221.79

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Solution

The fourth proportional to 75,498.21, 113,197.50 and 42,221.79 is: 63,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,498.21 : 113,197.50 = 42,221.79 : x
  2. Step 2: Convert to fraction form
    75,498.21/113,197.50 = 42,221.79/x
  3. Step 3: Cross multiply
    75,498.21x = 113,197.50 × 42,221.79
  4. Step 4: Simplify right side
    75,498.21x = 4,779,401,073.53
  5. Step 5: Solve for x
    x = 4,779,401,073.53/75,498.21
  6. Step 6: Final answer
    x = 63,304.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.