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Finding the Fourth Proportional to 42,820.38, 59,092.24 and 23,701.48

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Solution

The fourth proportional to 42,820.38, 59,092.24 and 23,701.48 is: 32,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,820.38 : 59,092.24 = 23,701.48 : x
  2. Step 2: Convert to fraction form
    42,820.38/59,092.24 = 23,701.48/x
  3. Step 3: Cross multiply
    42,820.38x = 59,092.24 × 23,701.48
  4. Step 4: Simplify right side
    42,820.38x = 1,400,573,544.52
  5. Step 5: Solve for x
    x = 1,400,573,544.52/42,820.38
  6. Step 6: Final answer
    x = 32,708.11

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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.