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Finding the Fourth Proportional to 32,142.90, 44,357.20 and 19,567.65

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Solution

The fourth proportional to 32,142.90, 44,357.20 and 19,567.65 is: 27,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.90 : 44,357.20 = 19,567.65 : x
  2. Step 2: Convert to fraction form
    32,142.90/44,357.20 = 19,567.65/x
  3. Step 3: Cross multiply
    32,142.90x = 44,357.20 × 19,567.65
  4. Step 4: Simplify right side
    32,142.90x = 867,966,164.58
  5. Step 5: Solve for x
    x = 867,966,164.58/32,142.90
  6. Step 6: Final answer
    x = 27,003.36

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