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Finding the Fourth Proportional to 83,738.64, 115,552.56 and 47,920.44

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Solution

The fourth proportional to 83,738.64, 115,552.56 and 47,920.44 is: 66,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,738.64 : 115,552.56 = 47,920.44 : x
  2. Step 2: Convert to fraction form
    83,738.64/115,552.56 = 47,920.44/x
  3. Step 3: Cross multiply
    83,738.64x = 115,552.56 × 47,920.44
  4. Step 4: Simplify right side
    83,738.64x = 5,537,329,518.33
  5. Step 5: Solve for x
    x = 5,537,329,518.33/83,738.64
  6. Step 6: Final answer
    x = 66,126.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.