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Finding the Fourth Proportional to 75,142.48, 112,721.23 and 27,770.01

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Solution

The fourth proportional to 75,142.48, 112,721.23 and 27,770.01 is: 41,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142.48 : 112,721.23 = 27,770.01 : x
  2. Step 2: Convert to fraction form
    75,142.48/112,721.23 = 27,770.01/x
  3. Step 3: Cross multiply
    75,142.48x = 112,721.23 × 27,770.01
  4. Step 4: Simplify right side
    75,142.48x = 3,130,269,684.31
  5. Step 5: Solve for x
    x = 3,130,269,684.31/75,142.48
  6. Step 6: Final answer
    x = 41,657.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.