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Finding the Fourth Proportional to 47,717.51, 65,845.17 and 27,580.91

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Solution

The fourth proportional to 47,717.51, 65,845.17 and 27,580.91 is: 38,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,717.51 : 65,845.17 = 27,580.91 : x
  2. Step 2: Convert to fraction form
    47,717.51/65,845.17 = 27,580.91/x
  3. Step 3: Cross multiply
    47,717.51x = 65,845.17 × 27,580.91
  4. Step 4: Simplify right side
    47,717.51x = 1,816,069,378.48
  5. Step 5: Solve for x
    x = 1,816,069,378.48/47,717.51
  6. Step 6: Final answer
    x = 38,058.77

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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.