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Finding the Fourth Proportional to 41,225.60, 61,832.64 and 13,520

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Solution

The fourth proportional to 41,225.60, 61,832.64 and 13,520 is: 20,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,225.60 : 61,832.64 = 13,520 : x
  2. Step 2: Convert to fraction form
    41,225.60/61,832.64 = 13,520/x
  3. Step 3: Cross multiply
    41,225.60x = 61,832.64 × 13,520
  4. Step 4: Simplify right side
    41,225.60x = 835,977,292.80
  5. Step 5: Solve for x
    x = 835,977,292.80/41,225.60
  6. Step 6: Final answer
    x = 20,278.11

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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.