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Finding the Fourth Proportional to 42,987.84, 59,335.92 and 27,881.46

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Solution

The fourth proportional to 42,987.84, 59,335.92 and 27,881.46 is: 38,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,987.84 : 59,335.92 = 27,881.46 : x
  2. Step 2: Convert to fraction form
    42,987.84/59,335.92 = 27,881.46/x
  3. Step 3: Cross multiply
    42,987.84x = 59,335.92 × 27,881.46
  4. Step 4: Simplify right side
    42,987.84x = 1,654,372,080.04
  5. Step 5: Solve for x
    x = 1,654,372,080.04/42,987.84
  6. Step 6: Final answer
    x = 38,484.65

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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.