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Finding the Fourth Proportional to 106,822, 160,235.16 and 32,950

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Solution

The fourth proportional to 106,822, 160,235.16 and 32,950 is: 49,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,822 : 160,235.16 = 32,950 : x
  2. Step 2: Convert to fraction form
    106,822/160,235.16 = 32,950/x
  3. Step 3: Cross multiply
    106,822x = 160,235.16 × 32,950
  4. Step 4: Simplify right side
    106,822x = 5,279,748,522
  5. Step 5: Solve for x
    x = 5,279,748,522/106,822
  6. Step 6: Final answer
    x = 49,425.67

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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.