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Finding the Fourth Proportional to 70,886.78, 106,333.14 and 32,971.62

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Solution

The fourth proportional to 70,886.78, 106,333.14 and 32,971.62 is: 49,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,886.78 : 106,333.14 = 32,971.62 : x
  2. Step 2: Convert to fraction form
    70,886.78/106,333.14 = 32,971.62/x
  3. Step 3: Cross multiply
    70,886.78x = 106,333.14 × 32,971.62
  4. Step 4: Simplify right side
    70,886.78x = 3,505,975,885.49
  5. Step 5: Solve for x
    x = 3,505,975,885.49/70,886.78
  6. Step 6: Final answer
    x = 49,458.81

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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.