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Finding the Fourth Proportional to 34,656.74, 51,988.38 and 9,696.79

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Solution

The fourth proportional to 34,656.74, 51,988.38 and 9,696.79 is: 14,546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.74 : 51,988.38 = 9,696.79 : x
  2. Step 2: Convert to fraction form
    34,656.74/51,988.38 = 9,696.79/x
  3. Step 3: Cross multiply
    34,656.74x = 51,988.38 × 9,696.79
  4. Step 4: Simplify right side
    34,656.74x = 504,120,094.87
  5. Step 5: Solve for x
    x = 504,120,094.87/34,656.74
  6. Step 6: Final answer
    x = 14,546.09

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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.