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Finding the Fourth Proportional to 38,475.40, 57,713.10 and 23,777.80

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Solution

The fourth proportional to 38,475.40, 57,713.10 and 23,777.80 is: 35,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.40 : 57,713.10 = 23,777.80 : x
  2. Step 2: Convert to fraction form
    38,475.40/57,713.10 = 23,777.80/x
  3. Step 3: Cross multiply
    38,475.40x = 57,713.10 × 23,777.80
  4. Step 4: Simplify right side
    38,475.40x = 1,372,290,549.18
  5. Step 5: Solve for x
    x = 1,372,290,549.18/38,475.40
  6. Step 6: Final answer
    x = 35,666.70

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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.