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Finding the Fourth Proportional to 30,715.67, 46,073.54 and 8,529.10

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Solution

The fourth proportional to 30,715.67, 46,073.54 and 8,529.10 is: 12,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.67 : 46,073.54 = 8,529.10 : x
  2. Step 2: Convert to fraction form
    30,715.67/46,073.54 = 8,529.10/x
  3. Step 3: Cross multiply
    30,715.67x = 46,073.54 × 8,529.10
  4. Step 4: Simplify right side
    30,715.67x = 392,965,736.15
  5. Step 5: Solve for x
    x = 392,965,736.15/30,715.67
  6. Step 6: Final answer
    x = 12,793.66

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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.