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Finding the Fourth Proportional to 47,467.69, 65,512.20 and 29,568.31

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Solution

The fourth proportional to 47,467.69, 65,512.20 and 29,568.31 is: 40,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,467.69 : 65,512.20 = 29,568.31 : x
  2. Step 2: Convert to fraction form
    47,467.69/65,512.20 = 29,568.31/x
  3. Step 3: Cross multiply
    47,467.69x = 65,512.20 × 29,568.31
  4. Step 4: Simplify right side
    47,467.69x = 1,937,085,038.38
  5. Step 5: Solve for x
    x = 1,937,085,038.38/47,467.69
  6. Step 6: Final answer
    x = 40,808.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.