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Finding the Fourth Proportional to 29,101.92, 43,672 and 15,963.50

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Solution

The fourth proportional to 29,101.92, 43,672 and 15,963.50 is: 23,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101.92 : 43,672 = 15,963.50 : x
  2. Step 2: Convert to fraction form
    29,101.92/43,672 = 15,963.50/x
  3. Step 3: Cross multiply
    29,101.92x = 43,672 × 15,963.50
  4. Step 4: Simplify right side
    29,101.92x = 697,157,972
  5. Step 5: Solve for x
    x = 697,157,972/29,101.92
  6. Step 6: Final answer
    x = 23,955.74

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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.