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Finding the Fourth Proportional to 106,726.34, 160,106.79 and 32,837.06

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Solution

The fourth proportional to 106,726.34, 160,106.79 and 32,837.06 is: 49,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,726.34 : 160,106.79 = 32,837.06 : x
  2. Step 2: Convert to fraction form
    106,726.34/160,106.79 = 32,837.06/x
  3. Step 3: Cross multiply
    106,726.34x = 160,106.79 × 32,837.06
  4. Step 4: Simplify right side
    106,726.34x = 5,257,436,793.04
  5. Step 5: Solve for x
    x = 5,257,436,793.04/106,726.34
  6. Step 6: Final answer
    x = 49,260.91

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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.