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Finding the Fourth Proportional to 55,671.10, 76,823.22 and 31,793.08

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Solution

The fourth proportional to 55,671.10, 76,823.22 and 31,793.08 is: 43,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,671.10 : 76,823.22 = 31,793.08 : x
  2. Step 2: Convert to fraction form
    55,671.10/76,823.22 = 31,793.08/x
  3. Step 3: Cross multiply
    55,671.10x = 76,823.22 × 31,793.08
  4. Step 4: Simplify right side
    55,671.10x = 2,442,446,779.32
  5. Step 5: Solve for x
    x = 2,442,446,779.32/55,671.10
  6. Step 6: Final answer
    x = 43,872.80

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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.