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Finding the Fourth Proportional to 30,882.26, 42,601.86 and 19,532.64

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Solution

The fourth proportional to 30,882.26, 42,601.86 and 19,532.64 is: 26,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.26 : 42,601.86 = 19,532.64 : x
  2. Step 2: Convert to fraction form
    30,882.26/42,601.86 = 19,532.64/x
  3. Step 3: Cross multiply
    30,882.26x = 42,601.86 × 19,532.64
  4. Step 4: Simplify right side
    30,882.26x = 832,126,794.71
  5. Step 5: Solve for x
    x = 832,126,794.71/30,882.26
  6. Step 6: Final answer
    x = 26,945.14

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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.