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Finding the Fourth Proportional to 43,422.24, 59,918.88 and 24,564

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Solution

The fourth proportional to 43,422.24, 59,918.88 and 24,564 is: 33,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,422.24 : 59,918.88 = 24,564 : x
  2. Step 2: Convert to fraction form
    43,422.24/59,918.88 = 24,564/x
  3. Step 3: Cross multiply
    43,422.24x = 59,918.88 × 24,564
  4. Step 4: Simplify right side
    43,422.24x = 1,471,847,368.32
  5. Step 5: Solve for x
    x = 1,471,847,368.32/43,422.24
  6. Step 6: Final answer
    x = 33,896.16

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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.