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Finding the Fourth Proportional to 29,225.50, 40,331.20 and 15,977.50

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Solution

The fourth proportional to 29,225.50, 40,331.20 and 15,977.50 is: 22,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,225.50 : 40,331.20 = 15,977.50 : x
  2. Step 2: Convert to fraction form
    29,225.50/40,331.20 = 15,977.50/x
  3. Step 3: Cross multiply
    29,225.50x = 40,331.20 × 15,977.50
  4. Step 4: Simplify right side
    29,225.50x = 644,391,748
  5. Step 5: Solve for x
    x = 644,391,748/29,225.50
  6. Step 6: Final answer
    x = 22,048.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.