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Finding the Fourth Proportional to 55,857.40, 83,759.77 and 20,293.65

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Solution

The fourth proportional to 55,857.40, 83,759.77 and 20,293.65 is: 30,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,857.40 : 83,759.77 = 20,293.65 : x
  2. Step 2: Convert to fraction form
    55,857.40/83,759.77 = 20,293.65/x
  3. Step 3: Cross multiply
    55,857.40x = 83,759.77 × 20,293.65
  4. Step 4: Simplify right side
    55,857.40x = 1,699,791,456.46
  5. Step 5: Solve for x
    x = 1,699,791,456.46/55,857.40
  6. Step 6: Final answer
    x = 30,430.91

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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.