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Finding the Fourth Proportional to 52,061.13, 71,844.71 and 28,188

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Solution

The fourth proportional to 52,061.13, 71,844.71 and 28,188 is: 38,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,061.13 : 71,844.71 = 28,188 : x
  2. Step 2: Convert to fraction form
    52,061.13/71,844.71 = 28,188/x
  3. Step 3: Cross multiply
    52,061.13x = 71,844.71 × 28,188
  4. Step 4: Simplify right side
    52,061.13x = 2,025,158,544.54
  5. Step 5: Solve for x
    x = 2,025,158,544.54/52,061.13
  6. Step 6: Final answer
    x = 38,899.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.