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Finding the Fourth Proportional to 70,885.62, 106,234.86 and 33,394.36

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Solution

The fourth proportional to 70,885.62, 106,234.86 and 33,394.36 is: 50,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,885.62 : 106,234.86 = 33,394.36 : x
  2. Step 2: Convert to fraction form
    70,885.62/106,234.86 = 33,394.36/x
  3. Step 3: Cross multiply
    70,885.62x = 106,234.86 × 33,394.36
  4. Step 4: Simplify right side
    70,885.62x = 3,547,645,159.39
  5. Step 5: Solve for x
    x = 3,547,645,159.39/70,885.62
  6. Step 6: Final answer
    x = 50,047.46

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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.