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Finding the Fourth Proportional to 29,116.47, 40,205.93 and 27,621.78

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Solution

The fourth proportional to 29,116.47, 40,205.93 and 27,621.78 is: 38,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,116.47 : 40,205.93 = 27,621.78 : x
  2. Step 2: Convert to fraction form
    29,116.47/40,205.93 = 27,621.78/x
  3. Step 3: Cross multiply
    29,116.47x = 40,205.93 × 27,621.78
  4. Step 4: Simplify right side
    29,116.47x = 1,110,559,422.21
  5. Step 5: Solve for x
    x = 1,110,559,422.21/29,116.47
  6. Step 6: Final answer
    x = 38,141.97

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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.