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Finding the Fourth Proportional to 29,309.76, 43,984.08 and 15,468.48

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Solution

The fourth proportional to 29,309.76, 43,984.08 and 15,468.48 is: 23,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,309.76 : 43,984.08 = 15,468.48 : x
  2. Step 2: Convert to fraction form
    29,309.76/43,984.08 = 15,468.48/x
  3. Step 3: Cross multiply
    29,309.76x = 43,984.08 × 15,468.48
  4. Step 4: Simplify right side
    29,309.76x = 680,366,861.80
  5. Step 5: Solve for x
    x = 680,366,861.80/29,309.76
  6. Step 6: Final answer
    x = 23,212.98

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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.