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Finding the Fourth Proportional to 55,184.87, 82,780.04 and 15,747.79

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Solution

The fourth proportional to 55,184.87, 82,780.04 and 15,747.79 is: 23,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,184.87 : 82,780.04 = 15,747.79 : x
  2. Step 2: Convert to fraction form
    55,184.87/82,780.04 = 15,747.79/x
  3. Step 3: Cross multiply
    55,184.87x = 82,780.04 × 15,747.79
  4. Step 4: Simplify right side
    55,184.87x = 1,303,602,686.11
  5. Step 5: Solve for x
    x = 1,303,602,686.11/55,184.87
  6. Step 6: Final answer
    x = 23,622.47

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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.