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Finding the Fourth Proportional to 31,378.50, 47,070.45 and 8,004.87

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Solution

The fourth proportional to 31,378.50, 47,070.45 and 8,004.87 is: 12,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.50 : 47,070.45 = 8,004.87 : x
  2. Step 2: Convert to fraction form
    31,378.50/47,070.45 = 8,004.87/x
  3. Step 3: Cross multiply
    31,378.50x = 47,070.45 × 8,004.87
  4. Step 4: Simplify right side
    31,378.50x = 376,792,833.09
  5. Step 5: Solve for x
    x = 376,792,833.09/31,378.50
  6. Step 6: Final answer
    x = 12,007.99

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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.