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Finding the Fourth Proportional to 58,696.78, 81,001.59 and 31,839.20

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Solution

The fourth proportional to 58,696.78, 81,001.59 and 31,839.20 is: 43,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,696.78 : 81,001.59 = 31,839.20 : x
  2. Step 2: Convert to fraction form
    58,696.78/81,001.59 = 31,839.20/x
  3. Step 3: Cross multiply
    58,696.78x = 81,001.59 × 31,839.20
  4. Step 4: Simplify right side
    58,696.78x = 2,579,025,824.33
  5. Step 5: Solve for x
    x = 2,579,025,824.33/58,696.78
  6. Step 6: Final answer
    x = 43,938.12

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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.