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Finding the Fourth Proportional to 30,882.95, 42,606.29 and 20,140.33

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Solution

The fourth proportional to 30,882.95, 42,606.29 and 20,140.33 is: 27,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.95 : 42,606.29 = 20,140.33 : x
  2. Step 2: Convert to fraction form
    30,882.95/42,606.29 = 20,140.33/x
  3. Step 3: Cross multiply
    30,882.95x = 42,606.29 × 20,140.33
  4. Step 4: Simplify right side
    30,882.95x = 858,104,915.82
  5. Step 5: Solve for x
    x = 858,104,915.82/30,882.95
  6. Step 6: Final answer
    x = 27,785.72

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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.