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Finding the Fourth Proportional to 34,697, 52,046.94 and 10,073

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Solution

The fourth proportional to 34,697, 52,046.94 and 10,073 is: 15,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697 : 52,046.94 = 10,073 : x
  2. Step 2: Convert to fraction form
    34,697/52,046.94 = 10,073/x
  3. Step 3: Cross multiply
    34,697x = 52,046.94 × 10,073
  4. Step 4: Simplify right side
    34,697x = 524,268,826.62
  5. Step 5: Solve for x
    x = 524,268,826.62/34,697
  6. Step 6: Final answer
    x = 15,109.92

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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.