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Finding the Fourth Proportional to 30,962.32, 42,745.71 and 20,382.71

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Solution

The fourth proportional to 30,962.32, 42,745.71 and 20,382.71 is: 28,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.32 : 42,745.71 = 20,382.71 : x
  2. Step 2: Convert to fraction form
    30,962.32/42,745.71 = 20,382.71/x
  3. Step 3: Cross multiply
    30,962.32x = 42,745.71 × 20,382.71
  4. Step 4: Simplify right side
    30,962.32x = 871,273,196.95
  5. Step 5: Solve for x
    x = 871,273,196.95/30,962.32
  6. Step 6: Final answer
    x = 28,139.79

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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.