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Finding the Fourth Proportional to 87,135.50, 130,703.23 and 24,806

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Solution

The fourth proportional to 87,135.50, 130,703.23 and 24,806 is: 37,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,135.50 : 130,703.23 = 24,806 : x
  2. Step 2: Convert to fraction form
    87,135.50/130,703.23 = 24,806/x
  3. Step 3: Cross multiply
    87,135.50x = 130,703.23 × 24,806
  4. Step 4: Simplify right side
    87,135.50x = 3,242,224,323.38
  5. Step 5: Solve for x
    x = 3,242,224,323.38/87,135.50
  6. Step 6: Final answer
    x = 37,208.99

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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.