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Finding the Fourth Proportional to 42,065.52, 58,046.98 and 23,202.64

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Solution

The fourth proportional to 42,065.52, 58,046.98 and 23,202.64 is: 32,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,065.52 : 58,046.98 = 23,202.64 : x
  2. Step 2: Convert to fraction form
    42,065.52/58,046.98 = 23,202.64/x
  3. Step 3: Cross multiply
    42,065.52x = 58,046.98 × 23,202.64
  4. Step 4: Simplify right side
    42,065.52x = 1,346,843,180.03
  5. Step 5: Solve for x
    x = 1,346,843,180.03/42,065.52
  6. Step 6: Final answer
    x = 32,017.75

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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.