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Finding the Fourth Proportional to 30,422.67, 42,002.54 and 20,878.53

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Solution

The fourth proportional to 30,422.67, 42,002.54 and 20,878.53 is: 28,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.67 : 42,002.54 = 20,878.53 : x
  2. Step 2: Convert to fraction form
    30,422.67/42,002.54 = 20,878.53/x
  3. Step 3: Cross multiply
    30,422.67x = 42,002.54 × 20,878.53
  4. Step 4: Simplify right side
    30,422.67x = 876,951,291.47
  5. Step 5: Solve for x
    x = 876,951,291.47/30,422.67
  6. Step 6: Final answer
    x = 28,825.59

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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.