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Finding the Fourth Proportional to 83,954, 115,853.80 and 46,227.28

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Solution

The fourth proportional to 83,954, 115,853.80 and 46,227.28 is: 63,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,954 : 115,853.80 = 46,227.28 : x
  2. Step 2: Convert to fraction form
    83,954/115,853.80 = 46,227.28/x
  3. Step 3: Cross multiply
    83,954x = 115,853.80 × 46,227.28
  4. Step 4: Simplify right side
    83,954x = 5,355,606,051.66
  5. Step 5: Solve for x
    x = 5,355,606,051.66/83,954
  6. Step 6: Final answer
    x = 63,792.15

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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.