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Finding the Fourth Proportional to 70,821.82, 106,161.66 and 32,897.71

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Solution

The fourth proportional to 70,821.82, 106,161.66 and 32,897.71 is: 49,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,821.82 : 106,161.66 = 32,897.71 : x
  2. Step 2: Convert to fraction form
    70,821.82/106,161.66 = 32,897.71/x
  3. Step 3: Cross multiply
    70,821.82x = 106,161.66 × 32,897.71
  4. Step 4: Simplify right side
    70,821.82x = 3,492,475,165.25
  5. Step 5: Solve for x
    x = 3,492,475,165.25/70,821.82
  6. Step 6: Final answer
    x = 49,313.55

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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.