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Finding the Fourth Proportional to 107,017.20, 160,525.71 and 36,891

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Solution

The fourth proportional to 107,017.20, 160,525.71 and 36,891 is: 55,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,017.20 : 160,525.71 = 36,891 : x
  2. Step 2: Convert to fraction form
    107,017.20/160,525.71 = 36,891/x
  3. Step 3: Cross multiply
    107,017.20x = 160,525.71 × 36,891
  4. Step 4: Simplify right side
    107,017.20x = 5,921,953,967.61
  5. Step 5: Solve for x
    x = 5,921,953,967.61/107,017.20
  6. Step 6: Final answer
    x = 55,336.47

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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.