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Finding the Fourth Proportional to 38,000.40, 57,001.77 and 13,040.10

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Solution

The fourth proportional to 38,000.40, 57,001.77 and 13,040.10 is: 19,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.40 : 57,001.77 = 13,040.10 : x
  2. Step 2: Convert to fraction form
    38,000.40/57,001.77 = 13,040.10/x
  3. Step 3: Cross multiply
    38,000.40x = 57,001.77 × 13,040.10
  4. Step 4: Simplify right side
    38,000.40x = 743,308,715.78
  5. Step 5: Solve for x
    x = 743,308,715.78/38,000.40
  6. Step 6: Final answer
    x = 19,560.55

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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.