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Finding the Fourth Proportional to 115,733.50, 159,713.19 and 62,741.50

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Solution

The fourth proportional to 115,733.50, 159,713.19 and 62,741.50 is: 86,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,733.50 : 159,713.19 = 62,741.50 : x
  2. Step 2: Convert to fraction form
    115,733.50/159,713.19 = 62,741.50/x
  3. Step 3: Cross multiply
    115,733.50x = 159,713.19 × 62,741.50
  4. Step 4: Simplify right side
    115,733.50x = 10,020,645,110.39
  5. Step 5: Solve for x
    x = 10,020,645,110.39/115,733.50
  6. Step 6: Final answer
    x = 86,583.79

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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.