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Finding the Fourth Proportional to 42,657, 58,862.97 and 27,550.32

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Solution

The fourth proportional to 42,657, 58,862.97 and 27,550.32 is: 38,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,657 : 58,862.97 = 27,550.32 : x
  2. Step 2: Convert to fraction form
    42,657/58,862.97 = 27,550.32/x
  3. Step 3: Cross multiply
    42,657x = 58,862.97 × 27,550.32
  4. Step 4: Simplify right side
    42,657x = 1,621,693,659.65
  5. Step 5: Solve for x
    x = 1,621,693,659.65/42,657
  6. Step 6: Final answer
    x = 38,017.06

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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.