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Finding the Fourth Proportional to 55,695.84, 76,853.18 and 31,824.06

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Solution

The fourth proportional to 55,695.84, 76,853.18 and 31,824.06 is: 43,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,695.84 : 76,853.18 = 31,824.06 : x
  2. Step 2: Convert to fraction form
    55,695.84/76,853.18 = 31,824.06/x
  3. Step 3: Cross multiply
    55,695.84x = 76,853.18 × 31,824.06
  4. Step 4: Simplify right side
    55,695.84x = 2,445,780,052.39
  5. Step 5: Solve for x
    x = 2,445,780,052.39/55,695.84
  6. Step 6: Final answer
    x = 43,913.15

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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.