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Finding the Fourth Proportional to 31,707.63, 47,608.02 and 31,147.65

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Solution

The fourth proportional to 31,707.63, 47,608.02 and 31,147.65 is: 46,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.63 : 47,608.02 = 31,147.65 : x
  2. Step 2: Convert to fraction form
    31,707.63/47,608.02 = 31,147.65/x
  3. Step 3: Cross multiply
    31,707.63x = 47,608.02 × 31,147.65
  4. Step 4: Simplify right side
    31,707.63x = 1,482,877,944.15
  5. Step 5: Solve for x
    x = 1,482,877,944.15/31,707.63
  6. Step 6: Final answer
    x = 46,767.23

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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.