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Finding the Fourth Proportional to 55,695.97, 76,864.50 and 31,822.13

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Solution

The fourth proportional to 55,695.97, 76,864.50 and 31,822.13 is: 43,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,695.97 : 76,864.50 = 31,822.13 : x
  2. Step 2: Convert to fraction form
    55,695.97/76,864.50 = 31,822.13/x
  3. Step 3: Cross multiply
    55,695.97x = 76,864.50 × 31,822.13
  4. Step 4: Simplify right side
    55,695.97x = 2,445,992,111.39
  5. Step 5: Solve for x
    x = 2,445,992,111.39/55,695.97
  6. Step 6: Final answer
    x = 43,916.86

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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.