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Finding the Fourth Proportional to 82,863.06, 124,309.20 and 30,345.90

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Solution

The fourth proportional to 82,863.06, 124,309.20 and 30,345.90 is: 45,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.06 : 124,309.20 = 30,345.90 : x
  2. Step 2: Convert to fraction form
    82,863.06/124,309.20 = 30,345.90/x
  3. Step 3: Cross multiply
    82,863.06x = 124,309.20 × 30,345.90
  4. Step 4: Simplify right side
    82,863.06x = 3,772,274,552.28
  5. Step 5: Solve for x
    x = 3,772,274,552.28/82,863.06
  6. Step 6: Final answer
    x = 45,524.20

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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.