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Finding the Fourth Proportional to 83,648.32, 115,427.04 and 47,837.12

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Solution

The fourth proportional to 83,648.32, 115,427.04 and 47,837.12 is: 66,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,648.32 : 115,427.04 = 47,837.12 : x
  2. Step 2: Convert to fraction form
    83,648.32/115,427.04 = 47,837.12/x
  3. Step 3: Cross multiply
    83,648.32x = 115,427.04 × 47,837.12
  4. Step 4: Simplify right side
    83,648.32x = 5,521,697,163.72
  5. Step 5: Solve for x
    x = 5,521,697,163.72/83,648.32
  6. Step 6: Final answer
    x = 66,010.86

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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.