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Finding the Fourth Proportional to 87,144.90, 130,703.67 and 23,969.76

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Solution

The fourth proportional to 87,144.90, 130,703.67 and 23,969.76 is: 35,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,144.90 : 130,703.67 = 23,969.76 : x
  2. Step 2: Convert to fraction form
    87,144.90/130,703.67 = 23,969.76/x
  3. Step 3: Cross multiply
    87,144.90x = 130,703.67 × 23,969.76
  4. Step 4: Simplify right side
    87,144.90x = 3,132,934,947.50
  5. Step 5: Solve for x
    x = 3,132,934,947.50/87,144.90
  6. Step 6: Final answer
    x = 35,950.87

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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.