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Finding the Fourth Proportional to 84,826.78, 117,064.56 and 47,101

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Solution

The fourth proportional to 84,826.78, 117,064.56 and 47,101 is: 65,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,826.78 : 117,064.56 = 47,101 : x
  2. Step 2: Convert to fraction form
    84,826.78/117,064.56 = 47,101/x
  3. Step 3: Cross multiply
    84,826.78x = 117,064.56 × 47,101
  4. Step 4: Simplify right side
    84,826.78x = 5,513,857,840.56
  5. Step 5: Solve for x
    x = 5,513,857,840.56/84,826.78
  6. Step 6: Final answer
    x = 65,001.38

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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.