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Finding the Fourth Proportional to 31,806.63, 47,709.99 and 10,746.77

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Solution

The fourth proportional to 31,806.63, 47,709.99 and 10,746.77 is: 16,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.63 : 47,709.99 = 10,746.77 : x
  2. Step 2: Convert to fraction form
    31,806.63/47,709.99 = 10,746.77/x
  3. Step 3: Cross multiply
    31,806.63x = 47,709.99 × 10,746.77
  4. Step 4: Simplify right side
    31,806.63x = 512,728,050.68
  5. Step 5: Solve for x
    x = 512,728,050.68/31,806.63
  6. Step 6: Final answer
    x = 16,120.16

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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.