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Finding the Fourth Proportional to 42,842.50, 64,305.30 and 20,671.45

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Solution

The fourth proportional to 42,842.50, 64,305.30 and 20,671.45 is: 31,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842.50 : 64,305.30 = 20,671.45 : x
  2. Step 2: Convert to fraction form
    42,842.50/64,305.30 = 20,671.45/x
  3. Step 3: Cross multiply
    42,842.50x = 64,305.30 × 20,671.45
  4. Step 4: Simplify right side
    42,842.50x = 1,329,283,793.69
  5. Step 5: Solve for x
    x = 1,329,283,793.69/42,842.50
  6. Step 6: Final answer
    x = 31,027.22

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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.