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Finding the Fourth Proportional to 54,594, 81,812.16 and 31,227.12

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Solution

The fourth proportional to 54,594, 81,812.16 and 31,227.12 is: 46,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,594 : 81,812.16 = 31,227.12 : x
  2. Step 2: Convert to fraction form
    54,594/81,812.16 = 31,227.12/x
  3. Step 3: Cross multiply
    54,594x = 81,812.16 × 31,227.12
  4. Step 4: Simplify right side
    54,594x = 2,554,758,137.78
  5. Step 5: Solve for x
    x = 2,554,758,137.78/54,594
  6. Step 6: Final answer
    x = 46,795.58

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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.