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Finding the Fourth Proportional to 81,881.88, 112,990.86 and 46,064.96

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Solution

The fourth proportional to 81,881.88, 112,990.86 and 46,064.96 is: 63,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,881.88 : 112,990.86 = 46,064.96 : x
  2. Step 2: Convert to fraction form
    81,881.88/112,990.86 = 46,064.96/x
  3. Step 3: Cross multiply
    81,881.88x = 112,990.86 × 46,064.96
  4. Step 4: Simplify right side
    81,881.88x = 5,204,919,446.27
  5. Step 5: Solve for x
    x = 5,204,919,446.27/81,881.88
  6. Step 6: Final answer
    x = 63,566.19

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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.