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Finding the Fourth Proportional to 83,091.06, 124,653.02 and 30,501

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Solution

The fourth proportional to 83,091.06, 124,653.02 and 30,501 is: 45,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,091.06 : 124,653.02 = 30,501 : x
  2. Step 2: Convert to fraction form
    83,091.06/124,653.02 = 30,501/x
  3. Step 3: Cross multiply
    83,091.06x = 124,653.02 × 30,501
  4. Step 4: Simplify right side
    83,091.06x = 3,802,041,763.02
  5. Step 5: Solve for x
    x = 3,802,041,763.02/83,091.06
  6. Step 6: Final answer
    x = 45,757.53

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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.