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Finding the Fourth Proportional to 30,291.38, 41,801.72 and 17,548.66

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Solution

The fourth proportional to 30,291.38, 41,801.72 and 17,548.66 is: 24,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.38 : 41,801.72 = 17,548.66 : x
  2. Step 2: Convert to fraction form
    30,291.38/41,801.72 = 17,548.66/x
  3. Step 3: Cross multiply
    30,291.38x = 41,801.72 × 17,548.66
  4. Step 4: Simplify right side
    30,291.38x = 733,564,171.70
  5. Step 5: Solve for x
    x = 733,564,171.70/30,291.38
  6. Step 6: Final answer
    x = 24,216.93

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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.