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Finding the Fourth Proportional to 83,141.64, 114,733.82 and 46,843.16

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Solution

The fourth proportional to 83,141.64, 114,733.82 and 46,843.16 is: 64,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,141.64 : 114,733.82 = 46,843.16 : x
  2. Step 2: Convert to fraction form
    83,141.64/114,733.82 = 46,843.16/x
  3. Step 3: Cross multiply
    83,141.64x = 114,733.82 × 46,843.16
  4. Step 4: Simplify right side
    83,141.64x = 5,374,494,687.67
  5. Step 5: Solve for x
    x = 5,374,494,687.67/83,141.64
  6. Step 6: Final answer
    x = 64,642.63

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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.