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Finding the Fourth Proportional to 82,863.06, 114,354.32 and 47,056.41

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Solution

The fourth proportional to 82,863.06, 114,354.32 and 47,056.41 is: 64,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.06 : 114,354.32 = 47,056.41 : x
  2. Step 2: Convert to fraction form
    82,863.06/114,354.32 = 47,056.41/x
  3. Step 3: Cross multiply
    82,863.06x = 114,354.32 × 47,056.41
  4. Step 4: Simplify right side
    82,863.06x = 5,381,103,531.91
  5. Step 5: Solve for x
    x = 5,381,103,531.91/82,863.06
  6. Step 6: Final answer
    x = 64,939.72

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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.