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Finding the Fourth Proportional to 29,201.38, 40,298.69 and 17,870.65

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Solution

The fourth proportional to 29,201.38, 40,298.69 and 17,870.65 is: 24,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,201.38 : 40,298.69 = 17,870.65 : x
  2. Step 2: Convert to fraction form
    29,201.38/40,298.69 = 17,870.65/x
  3. Step 3: Cross multiply
    29,201.38x = 40,298.69 × 17,870.65
  4. Step 4: Simplify right side
    29,201.38x = 720,163,728.38
  5. Step 5: Solve for x
    x = 720,163,728.38/29,201.38
  6. Step 6: Final answer
    x = 24,661.98

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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.