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Finding the Fourth Proportional to 38,177.72, 57,271.98 and 11,885.12

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Solution

The fourth proportional to 38,177.72, 57,271.98 and 11,885.12 is: 17,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177.72 : 57,271.98 = 11,885.12 : x
  2. Step 2: Convert to fraction form
    38,177.72/57,271.98 = 11,885.12/x
  3. Step 3: Cross multiply
    38,177.72x = 57,271.98 × 11,885.12
  4. Step 4: Simplify right side
    38,177.72x = 680,684,354.94
  5. Step 5: Solve for x
    x = 680,684,354.94/38,177.72
  6. Step 6: Final answer
    x = 17,829.36

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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.