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Finding the Fourth Proportional to 58,378.50, 80,562.42 and 33,228

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Solution

The fourth proportional to 58,378.50, 80,562.42 and 33,228 is: 45,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,378.50 : 80,562.42 = 33,228 : x
  2. Step 2: Convert to fraction form
    58,378.50/80,562.42 = 33,228/x
  3. Step 3: Cross multiply
    58,378.50x = 80,562.42 × 33,228
  4. Step 4: Simplify right side
    58,378.50x = 2,676,928,091.76
  5. Step 5: Solve for x
    x = 2,676,928,091.76/58,378.50
  6. Step 6: Final answer
    x = 45,854.69

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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.