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Finding the Fourth Proportional to 34,726, 52,097.82 and 10,102

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Solution

The fourth proportional to 34,726, 52,097.82 and 10,102 is: 15,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,726 : 52,097.82 = 10,102 : x
  2. Step 2: Convert to fraction form
    34,726/52,097.82 = 10,102/x
  3. Step 3: Cross multiply
    34,726x = 52,097.82 × 10,102
  4. Step 4: Simplify right side
    34,726x = 526,292,177.64
  5. Step 5: Solve for x
    x = 526,292,177.64/34,726
  6. Step 6: Final answer
    x = 15,155.57

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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.