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Finding the Fourth Proportional to 42,769.65, 59,019.75 and 23,648.31

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Solution

The fourth proportional to 42,769.65, 59,019.75 and 23,648.31 is: 32,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,769.65 : 59,019.75 = 23,648.31 : x
  2. Step 2: Convert to fraction form
    42,769.65/59,019.75 = 23,648.31/x
  3. Step 3: Cross multiply
    42,769.65x = 59,019.75 × 23,648.31
  4. Step 4: Simplify right side
    42,769.65x = 1,395,717,344.12
  5. Step 5: Solve for x
    x = 1,395,717,344.12/42,769.65
  6. Step 6: Final answer
    x = 32,633.36

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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.