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Finding the Fourth Proportional to 43,230.24, 59,654.16 and 24,372

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Solution

The fourth proportional to 43,230.24, 59,654.16 and 24,372 is: 33,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,230.24 : 59,654.16 = 24,372 : x
  2. Step 2: Convert to fraction form
    43,230.24/59,654.16 = 24,372/x
  3. Step 3: Cross multiply
    43,230.24x = 59,654.16 × 24,372
  4. Step 4: Simplify right side
    43,230.24x = 1,453,891,187.52
  5. Step 5: Solve for x
    x = 1,453,891,187.52/43,230.24
  6. Step 6: Final answer
    x = 33,631.35

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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.