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Finding the Fourth Proportional to 42,657.56, 58,855.60 and 27,550.84

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Solution

The fourth proportional to 42,657.56, 58,855.60 and 27,550.84 is: 38,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,657.56 : 58,855.60 = 27,550.84 : x
  2. Step 2: Convert to fraction form
    42,657.56/58,855.60 = 27,550.84/x
  3. Step 3: Cross multiply
    42,657.56x = 58,855.60 × 27,550.84
  4. Step 4: Simplify right side
    42,657.56x = 1,621,521,218.70
  5. Step 5: Solve for x
    x = 1,621,521,218.70/42,657.56
  6. Step 6: Final answer
    x = 38,012.52

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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.