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Finding the Fourth Proportional to 32,065.50, 44,255.25 and 19,487.82

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Solution

The fourth proportional to 32,065.50, 44,255.25 and 19,487.82 is: 26,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.50 : 44,255.25 = 19,487.82 : x
  2. Step 2: Convert to fraction form
    32,065.50/44,255.25 = 19,487.82/x
  3. Step 3: Cross multiply
    32,065.50x = 44,255.25 × 19,487.82
  4. Step 4: Simplify right side
    32,065.50x = 862,438,346.06
  5. Step 5: Solve for x
    x = 862,438,346.06/32,065.50
  6. Step 6: Final answer
    x = 26,896.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.