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Finding the Fourth Proportional to 29,974.80, 44,978.40 and 13,337.40

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Solution

The fourth proportional to 29,974.80, 44,978.40 and 13,337.40 is: 20,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974.80 : 44,978.40 = 13,337.40 : x
  2. Step 2: Convert to fraction form
    29,974.80/44,978.40 = 13,337.40/x
  3. Step 3: Cross multiply
    29,974.80x = 44,978.40 × 13,337.40
  4. Step 4: Simplify right side
    29,974.80x = 599,894,912.16
  5. Step 5: Solve for x
    x = 599,894,912.16/29,974.80
  6. Step 6: Final answer
    x = 20,013.31

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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.