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Finding the Fourth Proportional to 29,678.31, 44,517.47 and 12,141

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Solution

The fourth proportional to 29,678.31, 44,517.47 and 12,141 is: 18,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.31 : 44,517.47 = 12,141 : x
  2. Step 2: Convert to fraction form
    29,678.31/44,517.47 = 12,141/x
  3. Step 3: Cross multiply
    29,678.31x = 44,517.47 × 12,141
  4. Step 4: Simplify right side
    29,678.31x = 540,486,603.27
  5. Step 5: Solve for x
    x = 540,486,603.27/29,678.31
  6. Step 6: Final answer
    x = 18,211.50

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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.