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Finding the Fourth Proportional to 34,674.57, 52,015.95 and 11,301

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Solution

The fourth proportional to 34,674.57, 52,015.95 and 11,301 is: 16,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,674.57 : 52,015.95 = 11,301 : x
  2. Step 2: Convert to fraction form
    34,674.57/52,015.95 = 11,301/x
  3. Step 3: Cross multiply
    34,674.57x = 52,015.95 × 11,301
  4. Step 4: Simplify right side
    34,674.57x = 587,832,250.95
  5. Step 5: Solve for x
    x = 587,832,250.95/34,674.57
  6. Step 6: Final answer
    x = 16,952.83

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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.