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Finding the Fourth Proportional to 83,501.82, 125,268.42 and 33,585.78

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Solution

The fourth proportional to 83,501.82, 125,268.42 and 33,585.78 is: 50,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,501.82 : 125,268.42 = 33,585.78 : x
  2. Step 2: Convert to fraction form
    83,501.82/125,268.42 = 33,585.78/x
  3. Step 3: Cross multiply
    83,501.82x = 125,268.42 × 33,585.78
  4. Step 4: Simplify right side
    83,501.82x = 4,207,237,595.07
  5. Step 5: Solve for x
    x = 4,207,237,595.07/83,501.82
  6. Step 6: Final answer
    x = 50,384.98

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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.