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Finding the Fourth Proportional to 47,662.91, 65,747.49 and 29,726.78

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Solution

The fourth proportional to 47,662.91, 65,747.49 and 29,726.78 is: 41,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.91 : 65,747.49 = 29,726.78 : x
  2. Step 2: Convert to fraction form
    47,662.91/65,747.49 = 29,726.78/x
  3. Step 3: Cross multiply
    47,662.91x = 65,747.49 × 29,726.78
  4. Step 4: Simplify right side
    47,662.91x = 1,954,461,088.60
  5. Step 5: Solve for x
    x = 1,954,461,088.60/47,662.91
  6. Step 6: Final answer
    x = 41,005.91

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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.