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Finding the Fourth Proportional to 29,442.75, 40,631.40 and 16,867.50

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Solution

The fourth proportional to 29,442.75, 40,631.40 and 16,867.50 is: 23,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,442.75 : 40,631.40 = 16,867.50 : x
  2. Step 2: Convert to fraction form
    29,442.75/40,631.40 = 16,867.50/x
  3. Step 3: Cross multiply
    29,442.75x = 40,631.40 × 16,867.50
  4. Step 4: Simplify right side
    29,442.75x = 685,350,139.50
  5. Step 5: Solve for x
    x = 685,350,139.50/29,442.75
  6. Step 6: Final answer
    x = 23,277.38

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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.