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Finding the Fourth Proportional to 55,984.50, 83,977.42 and 23,959.24

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Solution

The fourth proportional to 55,984.50, 83,977.42 and 23,959.24 is: 35,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,984.50 : 83,977.42 = 23,959.24 : x
  2. Step 2: Convert to fraction form
    55,984.50/83,977.42 = 23,959.24/x
  3. Step 3: Cross multiply
    55,984.50x = 83,977.42 × 23,959.24
  4. Step 4: Simplify right side
    55,984.50x = 2,012,035,160.36
  5. Step 5: Solve for x
    x = 2,012,035,160.36/55,984.50
  6. Step 6: Final answer
    x = 35,939.15

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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.