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Finding the Fourth Proportional to 54,881.84, 82,232.76 and 23,266.64

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Solution

The fourth proportional to 54,881.84, 82,232.76 and 23,266.64 is: 34,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,881.84 : 82,232.76 = 23,266.64 : x
  2. Step 2: Convert to fraction form
    54,881.84/82,232.76 = 23,266.64/x
  3. Step 3: Cross multiply
    54,881.84x = 82,232.76 × 23,266.64
  4. Step 4: Simplify right side
    54,881.84x = 1,913,280,023.13
  5. Step 5: Solve for x
    x = 1,913,280,023.13/54,881.84
  6. Step 6: Final answer
    x = 34,861.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.