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Finding the Fourth Proportional to 32,412.40, 48,618.09 and 19,765.87

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Solution

The fourth proportional to 32,412.40, 48,618.09 and 19,765.87 is: 29,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.40 : 48,618.09 = 19,765.87 : x
  2. Step 2: Convert to fraction form
    32,412.40/48,618.09 = 19,765.87/x
  3. Step 3: Cross multiply
    32,412.40x = 48,618.09 × 19,765.87
  4. Step 4: Simplify right side
    32,412.40x = 960,978,725.04
  5. Step 5: Solve for x
    x = 960,978,725.04/32,412.40
  6. Step 6: Final answer
    x = 29,648.49

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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.