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Finding the Fourth Proportional to 32,562.56, 48,865.68 and 17,782.08

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Solution

The fourth proportional to 32,562.56, 48,865.68 and 17,782.08 is: 26,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562.56 : 48,865.68 = 17,782.08 : x
  2. Step 2: Convert to fraction form
    32,562.56/48,865.68 = 17,782.08/x
  3. Step 3: Cross multiply
    32,562.56x = 48,865.68 × 17,782.08
  4. Step 4: Simplify right side
    32,562.56x = 868,933,431.01
  5. Step 5: Solve for x
    x = 868,933,431.01/32,562.56
  6. Step 6: Final answer
    x = 26,685.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.