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Finding the Fourth Proportional to 34,696.25, 52,045.82 and 10,072.25

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Solution

The fourth proportional to 34,696.25, 52,045.82 and 10,072.25 is: 15,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696.25 : 52,045.82 = 10,072.25 : x
  2. Step 2: Convert to fraction form
    34,696.25/52,045.82 = 10,072.25/x
  3. Step 3: Cross multiply
    34,696.25x = 52,045.82 × 10,072.25
  4. Step 4: Simplify right side
    34,696.25x = 524,218,460.13
  5. Step 5: Solve for x
    x = 524,218,460.13/34,696.25
  6. Step 6: Final answer
    x = 15,108.79

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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.