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Finding the Fourth Proportional to 55,177.71, 82,767.32 and 15,734.82

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Solution

The fourth proportional to 55,177.71, 82,767.32 and 15,734.82 is: 23,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,177.71 : 82,767.32 = 15,734.82 : x
  2. Step 2: Convert to fraction form
    55,177.71/82,767.32 = 15,734.82/x
  3. Step 3: Cross multiply
    55,177.71x = 82,767.32 × 15,734.82
  4. Step 4: Simplify right side
    55,177.71x = 1,302,328,552.04
  5. Step 5: Solve for x
    x = 1,302,328,552.04/55,177.71
  6. Step 6: Final answer
    x = 23,602.44

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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.