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Finding the Fourth Proportional to 29,201.42, 40,321.59 and 27,733.70

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Solution

The fourth proportional to 29,201.42, 40,321.59 and 27,733.70 is: 38,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,201.42 : 40,321.59 = 27,733.70 : x
  2. Step 2: Convert to fraction form
    29,201.42/40,321.59 = 27,733.70/x
  3. Step 3: Cross multiply
    29,201.42x = 40,321.59 × 27,733.70
  4. Step 4: Simplify right side
    29,201.42x = 1,118,266,880.58
  5. Step 5: Solve for x
    x = 1,118,266,880.58/29,201.42
  6. Step 6: Final answer
    x = 38,294.95

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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.