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Finding the Fourth Proportional to 54,740.74, 82,111.11 and 31,350.82

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Solution

The fourth proportional to 54,740.74, 82,111.11 and 31,350.82 is: 47,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,740.74 : 82,111.11 = 31,350.82 : x
  2. Step 2: Convert to fraction form
    54,740.74/82,111.11 = 31,350.82/x
  3. Step 3: Cross multiply
    54,740.74x = 82,111.11 × 31,350.82
  4. Step 4: Simplify right side
    54,740.74x = 2,574,250,629.61
  5. Step 5: Solve for x
    x = 2,574,250,629.61/54,740.74
  6. Step 6: Final answer
    x = 47,026.23

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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.