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Finding the Fourth Proportional to 70,881.08, 106,284.69 and 33,431.08

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Solution

The fourth proportional to 70,881.08, 106,284.69 and 33,431.08 is: 50,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,881.08 : 106,284.69 = 33,431.08 : x
  2. Step 2: Convert to fraction form
    70,881.08/106,284.69 = 33,431.08/x
  3. Step 3: Cross multiply
    70,881.08x = 106,284.69 × 33,431.08
  4. Step 4: Simplify right side
    70,881.08x = 3,553,211,907.74
  5. Step 5: Solve for x
    x = 3,553,211,907.74/70,881.08
  6. Step 6: Final answer
    x = 50,129.20

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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.