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Finding the Fourth Proportional to 29,710.68, 40,914.32 and 27,811.20

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Solution

The fourth proportional to 29,710.68, 40,914.32 and 27,811.20 is: 38,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710.68 : 40,914.32 = 27,811.20 : x
  2. Step 2: Convert to fraction form
    29,710.68/40,914.32 = 27,811.20/x
  3. Step 3: Cross multiply
    29,710.68x = 40,914.32 × 27,811.20
  4. Step 4: Simplify right side
    29,710.68x = 1,137,876,405.91
  5. Step 5: Solve for x
    x = 1,137,876,405.91/29,710.68
  6. Step 6: Final answer
    x = 38,298.56

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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.