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Finding the Fourth Proportional to 39,202, 54,106.05 and 22,435

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Solution

The fourth proportional to 39,202, 54,106.05 and 22,435 is: 30,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,202 : 54,106.05 = 22,435 : x
  2. Step 2: Convert to fraction form
    39,202/54,106.05 = 22,435/x
  3. Step 3: Cross multiply
    39,202x = 54,106.05 × 22,435
  4. Step 4: Simplify right side
    39,202x = 1,213,869,231.75
  5. Step 5: Solve for x
    x = 1,213,869,231.75/39,202
  6. Step 6: Final answer
    x = 30,964.47

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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.