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Finding the Fourth Proportional to 23,187.60, 34,797.60 and 10,049.40

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Solution

The fourth proportional to 23,187.60, 34,797.60 and 10,049.40 is: 15,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.60 : 34,797.60 = 10,049.40 : x
  2. Step 2: Convert to fraction form
    23,187.60/34,797.60 = 10,049.40/x
  3. Step 3: Cross multiply
    23,187.60x = 34,797.60 × 10,049.40
  4. Step 4: Simplify right side
    23,187.60x = 349,695,001.44
  5. Step 5: Solve for x
    x = 349,695,001.44/23,187.60
  6. Step 6: Final answer
    x = 15,081.12

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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.