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Finding the Fourth Proportional to 76,385.58, 114,565.16 and 20,226.50

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Solution

The fourth proportional to 76,385.58, 114,565.16 and 20,226.50 is: 30,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,385.58 : 114,565.16 = 20,226.50 : x
  2. Step 2: Convert to fraction form
    76,385.58/114,565.16 = 20,226.50/x
  3. Step 3: Cross multiply
    76,385.58x = 114,565.16 × 20,226.50
  4. Step 4: Simplify right side
    76,385.58x = 2,317,251,635.91
  5. Step 5: Solve for x
    x = 2,317,251,635.91/76,385.58
  6. Step 6: Final answer
    x = 30,336.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.