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Finding the Fourth Proportional to 62,741.76, 86,583.36 and 34,448

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Solution

The fourth proportional to 62,741.76, 86,583.36 and 34,448 is: 47,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,741.76 : 86,583.36 = 34,448 : x
  2. Step 2: Convert to fraction form
    62,741.76/86,583.36 = 34,448/x
  3. Step 3: Cross multiply
    62,741.76x = 86,583.36 × 34,448
  4. Step 4: Simplify right side
    62,741.76x = 2,982,623,585.28
  5. Step 5: Solve for x
    x = 2,982,623,585.28/62,741.76
  6. Step 6: Final answer
    x = 47,538.09

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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.