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Finding the Fourth Proportional to 54,597.82, 81,916.76 and 23,015.83

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Solution

The fourth proportional to 54,597.82, 81,916.76 and 23,015.83 is: 34,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,597.82 : 81,916.76 = 23,015.83 : x
  2. Step 2: Convert to fraction form
    54,597.82/81,916.76 = 23,015.83/x
  3. Step 3: Cross multiply
    54,597.82x = 81,916.76 × 23,015.83
  4. Step 4: Simplify right side
    54,597.82x = 1,885,382,222.31
  5. Step 5: Solve for x
    x = 1,885,382,222.31/54,597.82
  6. Step 6: Final answer
    x = 34,532.19

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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.