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Finding the Fourth Proportional to 48,852.75, 67,420.17 and 27,632.10

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Solution

The fourth proportional to 48,852.75, 67,420.17 and 27,632.10 is: 38,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,852.75 : 67,420.17 = 27,632.10 : x
  2. Step 2: Convert to fraction form
    48,852.75/67,420.17 = 27,632.10/x
  3. Step 3: Cross multiply
    48,852.75x = 67,420.17 × 27,632.10
  4. Step 4: Simplify right side
    48,852.75x = 1,862,960,879.46
  5. Step 5: Solve for x
    x = 1,862,960,879.46/48,852.75
  6. Step 6: Final answer
    x = 38,134.21

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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.