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Finding the Fourth Proportional to 38,571.90, 57,862.10 and 12,270.50

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Solution

The fourth proportional to 38,571.90, 57,862.10 and 12,270.50 is: 18,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,571.90 : 57,862.10 = 12,270.50 : x
  2. Step 2: Convert to fraction form
    38,571.90/57,862.10 = 12,270.50/x
  3. Step 3: Cross multiply
    38,571.90x = 57,862.10 × 12,270.50
  4. Step 4: Simplify right side
    38,571.90x = 709,997,073.38
  5. Step 5: Solve for x
    x = 709,997,073.38/38,571.90
  6. Step 6: Final answer
    x = 18,407.11

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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.