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Finding the Fourth Proportional to 87,202, 130,804.26 and 24,872.50

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Solution

The fourth proportional to 87,202, 130,804.26 and 24,872.50 is: 37,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,202 : 130,804.26 = 24,872.50 : x
  2. Step 2: Convert to fraction form
    87,202/130,804.26 = 24,872.50/x
  3. Step 3: Cross multiply
    87,202x = 130,804.26 × 24,872.50
  4. Step 4: Simplify right side
    87,202x = 3,253,428,956.85
  5. Step 5: Solve for x
    x = 3,253,428,956.85/87,202
  6. Step 6: Final answer
    x = 37,309.11

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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.