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Finding the Fourth Proportional to 29,678.52, 44,517.78 and 13,251

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Solution

The fourth proportional to 29,678.52, 44,517.78 and 13,251 is: 19,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.52 : 44,517.78 = 13,251 : x
  2. Step 2: Convert to fraction form
    29,678.52/44,517.78 = 13,251/x
  3. Step 3: Cross multiply
    29,678.52x = 44,517.78 × 13,251
  4. Step 4: Simplify right side
    29,678.52x = 589,905,102.78
  5. Step 5: Solve for x
    x = 589,905,102.78/29,678.52
  6. Step 6: Final answer
    x = 19,876.50

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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.