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Finding the Fourth Proportional to 30,976.84, 42,715.38 and 22,015

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Solution

The fourth proportional to 30,976.84, 42,715.38 and 22,015 is: 30,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976.84 : 42,715.38 = 22,015 : x
  2. Step 2: Convert to fraction form
    30,976.84/42,715.38 = 22,015/x
  3. Step 3: Cross multiply
    30,976.84x = 42,715.38 × 22,015
  4. Step 4: Simplify right side
    30,976.84x = 940,379,090.70
  5. Step 5: Solve for x
    x = 940,379,090.70/30,976.84
  6. Step 6: Final answer
    x = 30,357.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.