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Finding the Fourth Proportional to 70,034, 105,051.92 and 23,286.88

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Solution

The fourth proportional to 70,034, 105,051.92 and 23,286.88 is: 34,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,034 : 105,051.92 = 23,286.88 : x
  2. Step 2: Convert to fraction form
    70,034/105,051.92 = 23,286.88/x
  3. Step 3: Cross multiply
    70,034x = 105,051.92 × 23,286.88
  4. Step 4: Simplify right side
    70,034x = 2,446,330,813.12
  5. Step 5: Solve for x
    x = 2,446,330,813.12/70,034
  6. Step 6: Final answer
    x = 34,930.62

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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.