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Finding the Fourth Proportional to 38,140.95, 57,188.25 and 17,077.08

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Solution

The fourth proportional to 38,140.95, 57,188.25 and 17,077.08 is: 25,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,140.95 : 57,188.25 = 17,077.08 : x
  2. Step 2: Convert to fraction form
    38,140.95/57,188.25 = 17,077.08/x
  3. Step 3: Cross multiply
    38,140.95x = 57,188.25 × 17,077.08
  4. Step 4: Simplify right side
    38,140.95x = 976,608,320.31
  5. Step 5: Solve for x
    x = 976,608,320.31/38,140.95
  6. Step 6: Final answer
    x = 25,605.24

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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.