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Finding the Fourth Proportional to 42,883.38, 64,282.50 and 20,354.58

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Solution

The fourth proportional to 42,883.38, 64,282.50 and 20,354.58 is: 30,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,883.38 : 64,282.50 = 20,354.58 : x
  2. Step 2: Convert to fraction form
    42,883.38/64,282.50 = 20,354.58/x
  3. Step 3: Cross multiply
    42,883.38x = 64,282.50 × 20,354.58
  4. Step 4: Simplify right side
    42,883.38x = 1,308,443,288.85
  5. Step 5: Solve for x
    x = 1,308,443,288.85/42,883.38
  6. Step 6: Final answer
    x = 30,511.66

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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.