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Finding the Fourth Proportional to 53,874.41, 74,343.15 and 31,211.55

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Solution

The fourth proportional to 53,874.41, 74,343.15 and 31,211.55 is: 43,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,874.41 : 74,343.15 = 31,211.55 : x
  2. Step 2: Convert to fraction form
    53,874.41/74,343.15 = 31,211.55/x
  3. Step 3: Cross multiply
    53,874.41x = 74,343.15 × 31,211.55
  4. Step 4: Simplify right side
    53,874.41x = 2,320,364,943.38
  5. Step 5: Solve for x
    x = 2,320,364,943.38/53,874.41
  6. Step 6: Final answer
    x = 43,069.89

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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.