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Finding the Fourth Proportional to 34,180, 51,271.92 and 9,557.92

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Solution

The fourth proportional to 34,180, 51,271.92 and 9,557.92 is: 14,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,180 : 51,271.92 = 9,557.92 : x
  2. Step 2: Convert to fraction form
    34,180/51,271.92 = 9,557.92/x
  3. Step 3: Cross multiply
    34,180x = 51,271.92 × 9,557.92
  4. Step 4: Simplify right side
    34,180x = 490,052,909.61
  5. Step 5: Solve for x
    x = 490,052,909.61/34,180
  6. Step 6: Final answer
    x = 14,337.42

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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.