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Finding the Fourth Proportional to 55,143.90, 82,724.10 and 25,564.74

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Solution

The fourth proportional to 55,143.90, 82,724.10 and 25,564.74 is: 38,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,143.90 : 82,724.10 = 25,564.74 : x
  2. Step 2: Convert to fraction form
    55,143.90/82,724.10 = 25,564.74/x
  3. Step 3: Cross multiply
    55,143.90x = 82,724.10 × 25,564.74
  4. Step 4: Simplify right side
    55,143.90x = 2,114,820,108.23
  5. Step 5: Solve for x
    x = 2,114,820,108.23/55,143.90
  6. Step 6: Final answer
    x = 38,350.93

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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.