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Finding the Fourth Proportional to 42,751, 58,996.38 and 23,888.13

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Solution

The fourth proportional to 42,751, 58,996.38 and 23,888.13 is: 32,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,751 : 58,996.38 = 23,888.13 : x
  2. Step 2: Convert to fraction form
    42,751/58,996.38 = 23,888.13/x
  3. Step 3: Cross multiply
    42,751x = 58,996.38 × 23,888.13
  4. Step 4: Simplify right side
    42,751x = 1,409,313,194.97
  5. Step 5: Solve for x
    x = 1,409,313,194.97/42,751
  6. Step 6: Final answer
    x = 32,965.62

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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.