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Finding the Fourth Proportional to 90,016.51, 135,043.20 and 30,856.78

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Solution

The fourth proportional to 90,016.51, 135,043.20 and 30,856.78 is: 46,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,016.51 : 135,043.20 = 30,856.78 : x
  2. Step 2: Convert to fraction form
    90,016.51/135,043.20 = 30,856.78/x
  3. Step 3: Cross multiply
    90,016.51x = 135,043.20 × 30,856.78
  4. Step 4: Simplify right side
    90,016.51x = 4,166,998,312.90
  5. Step 5: Solve for x
    x = 4,166,998,312.90/90,016.51
  6. Step 6: Final answer
    x = 46,291.49

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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.