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Finding the Fourth Proportional to 84,124.33, 116,062.86 and 47,822.11

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Solution

The fourth proportional to 84,124.33, 116,062.86 and 47,822.11 is: 65,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,124.33 : 116,062.86 = 47,822.11 : x
  2. Step 2: Convert to fraction form
    84,124.33/116,062.86 = 47,822.11/x
  3. Step 3: Cross multiply
    84,124.33x = 116,062.86 × 47,822.11
  4. Step 4: Simplify right side
    84,124.33x = 5,550,370,857.83
  5. Step 5: Solve for x
    x = 5,550,370,857.83/84,124.33
  6. Step 6: Final answer
    x = 65,978.19

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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.