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Finding the Fourth Proportional to 33,101, 49,651.50 and 9,726.92

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Solution

The fourth proportional to 33,101, 49,651.50 and 9,726.92 is: 14,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101 : 49,651.50 = 9,726.92 : x
  2. Step 2: Convert to fraction form
    33,101/49,651.50 = 9,726.92/x
  3. Step 3: Cross multiply
    33,101x = 49,651.50 × 9,726.92
  4. Step 4: Simplify right side
    33,101x = 482,956,168.38
  5. Step 5: Solve for x
    x = 482,956,168.38/33,101
  6. Step 6: Final answer
    x = 14,590.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.