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Finding the Fourth Proportional to 38,272.95, 57,409.45 and 20,853.50

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Solution

The fourth proportional to 38,272.95, 57,409.45 and 20,853.50 is: 31,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272.95 : 57,409.45 = 20,853.50 : x
  2. Step 2: Convert to fraction form
    38,272.95/57,409.45 = 20,853.50/x
  3. Step 3: Cross multiply
    38,272.95x = 57,409.45 × 20,853.50
  4. Step 4: Simplify right side
    38,272.95x = 1,197,187,626.39
  5. Step 5: Solve for x
    x = 1,197,187,626.39/38,272.95
  6. Step 6: Final answer
    x = 31,280.25

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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.