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Finding the Fourth Proportional to 34,696, 52,045.44 and 10,072

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Solution

The fourth proportional to 34,696, 52,045.44 and 10,072 is: 15,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696 : 52,045.44 = 10,072 : x
  2. Step 2: Convert to fraction form
    34,696/52,045.44 = 10,072/x
  3. Step 3: Cross multiply
    34,696x = 52,045.44 × 10,072
  4. Step 4: Simplify right side
    34,696x = 524,201,671.68
  5. Step 5: Solve for x
    x = 524,201,671.68/34,696
  6. Step 6: Final answer
    x = 15,108.42

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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.