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Finding the Fourth Proportional to 75,497.90, 113,246.43 and 19,337.90

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Solution

The fourth proportional to 75,497.90, 113,246.43 and 19,337.90 is: 29,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,497.90 : 113,246.43 = 19,337.90 : x
  2. Step 2: Convert to fraction form
    75,497.90/113,246.43 = 19,337.90/x
  3. Step 3: Cross multiply
    75,497.90x = 113,246.43 × 19,337.90
  4. Step 4: Simplify right side
    75,497.90x = 2,189,948,138.70
  5. Step 5: Solve for x
    x = 2,189,948,138.70/75,497.90
  6. Step 6: Final answer
    x = 29,006.74

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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.