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Finding the Fourth Proportional to 30,531.54, 42,109.83 and 20,456.76

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Solution

The fourth proportional to 30,531.54, 42,109.83 and 20,456.76 is: 28,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.54 : 42,109.83 = 20,456.76 : x
  2. Step 2: Convert to fraction form
    30,531.54/42,109.83 = 20,456.76/x
  3. Step 3: Cross multiply
    30,531.54x = 42,109.83 × 20,456.76
  4. Step 4: Simplify right side
    30,531.54x = 861,430,685.95
  5. Step 5: Solve for x
    x = 861,430,685.95/30,531.54
  6. Step 6: Final answer
    x = 28,214.45

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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.