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Finding the Fourth Proportional to 41,011.65, 61,524 and 14,365.08

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Solution

The fourth proportional to 41,011.65, 61,524 and 14,365.08 is: 21,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,011.65 : 61,524 = 14,365.08 : x
  2. Step 2: Convert to fraction form
    41,011.65/61,524 = 14,365.08/x
  3. Step 3: Cross multiply
    41,011.65x = 61,524 × 14,365.08
  4. Step 4: Simplify right side
    41,011.65x = 883,797,181.92
  5. Step 5: Solve for x
    x = 883,797,181.92/41,011.65
  6. Step 6: Final answer
    x = 21,549.91

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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.