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Finding the Fourth Proportional to 84,837.38, 117,079.22 and 47,111.63

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Solution

The fourth proportional to 84,837.38, 117,079.22 and 47,111.63 is: 65,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,837.38 : 117,079.22 = 47,111.63 : x
  2. Step 2: Convert to fraction form
    84,837.38/117,079.22 = 47,111.63/x
  3. Step 3: Cross multiply
    84,837.38x = 117,079.22 × 47,111.63
  4. Step 4: Simplify right side
    84,837.38x = 5,515,792,425.71
  5. Step 5: Solve for x
    x = 5,515,792,425.71/84,837.38
  6. Step 6: Final answer
    x = 65,016.07

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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.