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Finding the Fourth Proportional to 54,903.51, 75,766.41 and 31,034.88

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Solution

The fourth proportional to 54,903.51, 75,766.41 and 31,034.88 is: 42,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,903.51 : 75,766.41 = 31,034.88 : x
  2. Step 2: Convert to fraction form
    54,903.51/75,766.41 = 31,034.88/x
  3. Step 3: Cross multiply
    54,903.51x = 75,766.41 × 31,034.88
  4. Step 4: Simplify right side
    54,903.51x = 2,351,401,442.38
  5. Step 5: Solve for x
    x = 2,351,401,442.38/54,903.51
  6. Step 6: Final answer
    x = 42,827.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.