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Finding the Fourth Proportional to 42,769.69, 59,017.02 and 23,646.88

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Solution

The fourth proportional to 42,769.69, 59,017.02 and 23,646.88 is: 32,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,769.69 : 59,017.02 = 23,646.88 : x
  2. Step 2: Convert to fraction form
    42,769.69/59,017.02 = 23,646.88/x
  3. Step 3: Cross multiply
    42,769.69x = 59,017.02 × 23,646.88
  4. Step 4: Simplify right side
    42,769.69x = 1,395,568,441.57
  5. Step 5: Solve for x
    x = 1,395,568,441.57/42,769.69
  6. Step 6: Final answer
    x = 32,629.85

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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.