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Finding the Fourth Proportional to 55,281.67, 82,922.04 and 15,838.82

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Solution

The fourth proportional to 55,281.67, 82,922.04 and 15,838.82 is: 23,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,281.67 : 82,922.04 = 15,838.82 : x
  2. Step 2: Convert to fraction form
    55,281.67/82,922.04 = 15,838.82/x
  3. Step 3: Cross multiply
    55,281.67x = 82,922.04 × 15,838.82
  4. Step 4: Simplify right side
    55,281.67x = 1,313,387,265.59
  5. Step 5: Solve for x
    x = 1,313,387,265.59/55,281.67
  6. Step 6: Final answer
    x = 23,758.10

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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.