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Finding the Fourth Proportional to 34,696.97, 52,047.31 and 11,006.31

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Solution

The fourth proportional to 34,696.97, 52,047.31 and 11,006.31 is: 16,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696.97 : 52,047.31 = 11,006.31 : x
  2. Step 2: Convert to fraction form
    34,696.97/52,047.31 = 11,006.31/x
  3. Step 3: Cross multiply
    34,696.97x = 52,047.31 × 11,006.31
  4. Step 4: Simplify right side
    34,696.97x = 572,848,595.09
  5. Step 5: Solve for x
    x = 572,848,595.09/34,696.97
  6. Step 6: Final answer
    x = 16,510.05

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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.