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Finding the Fourth Proportional to 69,882, 104,881.32 and 32,946

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Solution

The fourth proportional to 69,882, 104,881.32 and 32,946 is: 49,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,882 : 104,881.32 = 32,946 : x
  2. Step 2: Convert to fraction form
    69,882/104,881.32 = 32,946/x
  3. Step 3: Cross multiply
    69,882x = 104,881.32 × 32,946
  4. Step 4: Simplify right side
    69,882x = 3,455,419,968.72
  5. Step 5: Solve for x
    x = 3,455,419,968.72/69,882
  6. Step 6: Final answer
    x = 49,446.50

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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.