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Finding the Fourth Proportional to 66,889.84, 100,367.84 and 31,353.72

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Solution

The fourth proportional to 66,889.84, 100,367.84 and 31,353.72 is: 47,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,889.84 : 100,367.84 = 31,353.72 : x
  2. Step 2: Convert to fraction form
    66,889.84/100,367.84 = 31,353.72/x
  3. Step 3: Cross multiply
    66,889.84x = 100,367.84 × 31,353.72
  4. Step 4: Simplify right side
    66,889.84x = 3,146,905,152.36
  5. Step 5: Solve for x
    x = 3,146,905,152.36/66,889.84
  6. Step 6: Final answer
    x = 47,046.09

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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.