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Finding the Fourth Proportional to 59,253.24, 81,770.42 and 35,382

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Solution

The fourth proportional to 59,253.24, 81,770.42 and 35,382 is: 48,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,253.24 : 81,770.42 = 35,382 : x
  2. Step 2: Convert to fraction form
    59,253.24/81,770.42 = 35,382/x
  3. Step 3: Cross multiply
    59,253.24x = 81,770.42 × 35,382
  4. Step 4: Simplify right side
    59,253.24x = 2,893,201,000.44
  5. Step 5: Solve for x
    x = 2,893,201,000.44/59,253.24
  6. Step 6: Final answer
    x = 48,827.73

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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.