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Finding the Fourth Proportional to 102,922.70, 154,369.65 and 32,809.10

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Solution

The fourth proportional to 102,922.70, 154,369.65 and 32,809.10 is: 49,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,922.70 : 154,369.65 = 32,809.10 : x
  2. Step 2: Convert to fraction form
    102,922.70/154,369.65 = 32,809.10/x
  3. Step 3: Cross multiply
    102,922.70x = 154,369.65 × 32,809.10
  4. Step 4: Simplify right side
    102,922.70x = 5,064,729,283.82
  5. Step 5: Solve for x
    x = 5,064,729,283.82/102,922.70
  6. Step 6: Final answer
    x = 49,209.06

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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.