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Finding the Fourth Proportional to 83,841, 115,703.78 and 46,114.44

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Solution

The fourth proportional to 83,841, 115,703.78 and 46,114.44 is: 63,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,841 : 115,703.78 = 46,114.44 : x
  2. Step 2: Convert to fraction form
    83,841/115,703.78 = 46,114.44/x
  3. Step 3: Cross multiply
    83,841x = 115,703.78 × 46,114.44
  4. Step 4: Simplify right side
    83,841x = 5,335,615,020.58
  5. Step 5: Solve for x
    x = 5,335,615,020.58/83,841
  6. Step 6: Final answer
    x = 63,639.69

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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.