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Finding the Fourth Proportional to 49,206, 67,902.30 and 29,069.34

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Solution

The fourth proportional to 49,206, 67,902.30 and 29,069.34 is: 40,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,206 : 67,902.30 = 29,069.34 : x
  2. Step 2: Convert to fraction form
    49,206/67,902.30 = 29,069.34/x
  3. Step 3: Cross multiply
    49,206x = 67,902.30 × 29,069.34
  4. Step 4: Simplify right side
    49,206x = 1,973,875,045.48
  5. Step 5: Solve for x
    x = 1,973,875,045.48/49,206
  6. Step 6: Final answer
    x = 40,114.52

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