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Finding the Fourth Proportional to 47,101.26, 64,970.88 and 27,968.04

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Solution

The fourth proportional to 47,101.26, 64,970.88 and 27,968.04 is: 38,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101.26 : 64,970.88 = 27,968.04 : x
  2. Step 2: Convert to fraction form
    47,101.26/64,970.88 = 27,968.04/x
  3. Step 3: Cross multiply
    47,101.26x = 64,970.88 × 27,968.04
  4. Step 4: Simplify right side
    47,101.26x = 1,817,108,170.68
  5. Step 5: Solve for x
    x = 1,817,108,170.68/47,101.26
  6. Step 6: Final answer
    x = 38,578.76

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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.