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Finding the Fourth Proportional to 43,091.28, 59,470.74 and 24,228

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Solution

The fourth proportional to 43,091.28, 59,470.74 and 24,228 is: 33,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,091.28 : 59,470.74 = 24,228 : x
  2. Step 2: Convert to fraction form
    43,091.28/59,470.74 = 24,228/x
  3. Step 3: Cross multiply
    43,091.28x = 59,470.74 × 24,228
  4. Step 4: Simplify right side
    43,091.28x = 1,440,857,088.72
  5. Step 5: Solve for x
    x = 1,440,857,088.72/43,091.28
  6. Step 6: Final answer
    x = 33,437.32

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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.