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Finding the Fourth Proportional to 52,774.36, 72,826.26 and 31,565.32

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Solution

The fourth proportional to 52,774.36, 72,826.26 and 31,565.32 is: 43,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,774.36 : 72,826.26 = 31,565.32 : x
  2. Step 2: Convert to fraction form
    52,774.36/72,826.26 = 31,565.32/x
  3. Step 3: Cross multiply
    52,774.36x = 72,826.26 × 31,565.32
  4. Step 4: Simplify right side
    52,774.36x = 2,298,784,201.30
  5. Step 5: Solve for x
    x = 2,298,784,201.30/52,774.36
  6. Step 6: Final answer
    x = 43,558.73

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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.