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Finding the Fourth Proportional to 82,224.80, 123,394.80 and 35,511.20

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Solution

The fourth proportional to 82,224.80, 123,394.80 and 35,511.20 is: 53,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224.80 : 123,394.80 = 35,511.20 : x
  2. Step 2: Convert to fraction form
    82,224.80/123,394.80 = 35,511.20/x
  3. Step 3: Cross multiply
    82,224.80x = 123,394.80 × 35,511.20
  4. Step 4: Simplify right side
    82,224.80x = 4,381,897,421.76
  5. Step 5: Solve for x
    x = 4,381,897,421.76/82,224.80
  6. Step 6: Final answer
    x = 53,291.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.