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Finding the Fourth Proportional to 47,664.66, 65,767.74 and 28,801.82

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Solution

The fourth proportional to 47,664.66, 65,767.74 and 28,801.82 is: 39,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664.66 : 65,767.74 = 28,801.82 : x
  2. Step 2: Convert to fraction form
    47,664.66/65,767.74 = 28,801.82/x
  3. Step 3: Cross multiply
    47,664.66x = 65,767.74 × 28,801.82
  4. Step 4: Simplify right side
    47,664.66x = 1,894,230,609.29
  5. Step 5: Solve for x
    x = 1,894,230,609.29/47,664.66
  6. Step 6: Final answer
    x = 39,740.78

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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.