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Finding the Fourth Proportional to 55,513.80, 83,314.49 and 20,478.06

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Solution

The fourth proportional to 55,513.80, 83,314.49 and 20,478.06 is: 30,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,513.80 : 83,314.49 = 20,478.06 : x
  2. Step 2: Convert to fraction form
    55,513.80/83,314.49 = 20,478.06/x
  3. Step 3: Cross multiply
    55,513.80x = 83,314.49 × 20,478.06
  4. Step 4: Simplify right side
    55,513.80x = 1,706,119,022.70
  5. Step 5: Solve for x
    x = 1,706,119,022.70/55,513.80
  6. Step 6: Final answer
    x = 30,733.24

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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.