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Finding the Fourth Proportional to 31,478.96, 47,200.08 and 12,767.96

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Solution

The fourth proportional to 31,478.96, 47,200.08 and 12,767.96 is: 19,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.96 : 47,200.08 = 12,767.96 : x
  2. Step 2: Convert to fraction form
    31,478.96/47,200.08 = 12,767.96/x
  3. Step 3: Cross multiply
    31,478.96x = 47,200.08 × 12,767.96
  4. Step 4: Simplify right side
    31,478.96x = 602,648,733.44
  5. Step 5: Solve for x
    x = 602,648,733.44/31,478.96
  6. Step 6: Final answer
    x = 19,144.49

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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.