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Finding the Fourth Proportional to 47,657.40, 71,486.10 and 12,118.65

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Solution

The fourth proportional to 47,657.40, 71,486.10 and 12,118.65 is: 18,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657.40 : 71,486.10 = 12,118.65 : x
  2. Step 2: Convert to fraction form
    47,657.40/71,486.10 = 12,118.65/x
  3. Step 3: Cross multiply
    47,657.40x = 71,486.10 × 12,118.65
  4. Step 4: Simplify right side
    47,657.40x = 866,315,025.77
  5. Step 5: Solve for x
    x = 866,315,025.77/47,657.40
  6. Step 6: Final answer
    x = 18,177.98

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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.