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Finding the Fourth Proportional to 113,618, 170,394.36 and 34,713.68

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Solution

The fourth proportional to 113,618, 170,394.36 and 34,713.68 is: 52,060.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,618 : 170,394.36 = 34,713.68 : x
  2. Step 2: Convert to fraction form
    113,618/170,394.36 = 34,713.68/x
  3. Step 3: Cross multiply
    113,618x = 170,394.36 × 34,713.68
  4. Step 4: Simplify right side
    113,618x = 5,915,015,286.84
  5. Step 5: Solve for x
    x = 5,915,015,286.84/113,618
  6. Step 6: Final answer
    x = 52,060.55

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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.