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Finding the Fourth Proportional to 83,091.56, 124,653.77 and 30,501.50

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Solution

The fourth proportional to 83,091.56, 124,653.77 and 30,501.50 is: 45,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,091.56 : 124,653.77 = 30,501.50 : x
  2. Step 2: Convert to fraction form
    83,091.56/124,653.77 = 30,501.50/x
  3. Step 3: Cross multiply
    83,091.56x = 124,653.77 × 30,501.50
  4. Step 4: Simplify right side
    83,091.56x = 3,802,126,965.66
  5. Step 5: Solve for x
    x = 3,802,126,965.66/83,091.56
  6. Step 6: Final answer
    x = 45,758.28

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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.