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Finding the Fourth Proportional to 37,294.65, 55,942.11 and 13,920.75

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Solution

The fourth proportional to 37,294.65, 55,942.11 and 13,920.75 is: 20,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,294.65 : 55,942.11 = 13,920.75 : x
  2. Step 2: Convert to fraction form
    37,294.65/55,942.11 = 13,920.75/x
  3. Step 3: Cross multiply
    37,294.65x = 55,942.11 × 13,920.75
  4. Step 4: Simplify right side
    37,294.65x = 778,756,127.78
  5. Step 5: Solve for x
    x = 778,756,127.78/37,294.65
  6. Step 6: Final answer
    x = 20,881.18

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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.