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Finding the Fourth Proportional to 34,902, 52,363.08 and 10,278

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Solution

The fourth proportional to 34,902, 52,363.08 and 10,278 is: 15,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,902 : 52,363.08 = 10,278 : x
  2. Step 2: Convert to fraction form
    34,902/52,363.08 = 10,278/x
  3. Step 3: Cross multiply
    34,902x = 52,363.08 × 10,278
  4. Step 4: Simplify right side
    34,902x = 538,187,736.24
  5. Step 5: Solve for x
    x = 538,187,736.24/34,902
  6. Step 6: Final answer
    x = 15,419.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.