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Finding the Fourth Proportional to 38,471.40, 57,692.70 and 13,501.80

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Solution

The fourth proportional to 38,471.40, 57,692.70 and 13,501.80 is: 20,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.40 : 57,692.70 = 13,501.80 : x
  2. Step 2: Convert to fraction form
    38,471.40/57,692.70 = 13,501.80/x
  3. Step 3: Cross multiply
    38,471.40x = 57,692.70 × 13,501.80
  4. Step 4: Simplify right side
    38,471.40x = 778,955,296.86
  5. Step 5: Solve for x
    x = 778,955,296.86/38,471.40
  6. Step 6: Final answer
    x = 20,247.65

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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.