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Finding the Fourth Proportional to 42,920.64, 59,175.72 and 27,786.60

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Solution

The fourth proportional to 42,920.64, 59,175.72 and 27,786.60 is: 38,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,920.64 : 59,175.72 = 27,786.60 : x
  2. Step 2: Convert to fraction form
    42,920.64/59,175.72 = 27,786.60/x
  3. Step 3: Cross multiply
    42,920.64x = 59,175.72 × 27,786.60
  4. Step 4: Simplify right side
    42,920.64x = 1,644,292,061.35
  5. Step 5: Solve for x
    x = 1,644,292,061.35/42,920.64
  6. Step 6: Final answer
    x = 38,310.05

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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.