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Finding the Fourth Proportional to 49,459.31, 68,256.71 and 27,948.48

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Solution

The fourth proportional to 49,459.31, 68,256.71 and 27,948.48 is: 38,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,459.31 : 68,256.71 = 27,948.48 : x
  2. Step 2: Convert to fraction form
    49,459.31/68,256.71 = 27,948.48/x
  3. Step 3: Cross multiply
    49,459.31x = 68,256.71 × 27,948.48
  4. Step 4: Simplify right side
    49,459.31x = 1,907,671,154.56
  5. Step 5: Solve for x
    x = 1,907,671,154.56/49,459.31
  6. Step 6: Final answer
    x = 38,570.52

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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.