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Finding the Fourth Proportional to 42,175.84, 58,202.40 and 23,311.48

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Solution

The fourth proportional to 42,175.84, 58,202.40 and 23,311.48 is: 32,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,175.84 : 58,202.40 = 23,311.48 : x
  2. Step 2: Convert to fraction form
    42,175.84/58,202.40 = 23,311.48/x
  3. Step 3: Cross multiply
    42,175.84x = 58,202.40 × 23,311.48
  4. Step 4: Simplify right side
    42,175.84x = 1,356,784,083.55
  5. Step 5: Solve for x
    x = 1,356,784,083.55/42,175.84
  6. Step 6: Final answer
    x = 32,169.70

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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.