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Finding the Fourth Proportional to 30,713.99, 46,071.90 and 8,529

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Solution

The fourth proportional to 30,713.99, 46,071.90 and 8,529 is: 12,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.99 : 46,071.90 = 8,529 : x
  2. Step 2: Convert to fraction form
    30,713.99/46,071.90 = 8,529/x
  3. Step 3: Cross multiply
    30,713.99x = 46,071.90 × 8,529
  4. Step 4: Simplify right side
    30,713.99x = 392,947,203.12
  5. Step 5: Solve for x
    x = 392,947,203.12/30,713.99
  6. Step 6: Final answer
    x = 12,793.75

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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.