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Finding the Fourth Proportional to 76,565.50, 114,871.55 and 39,151.84

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Solution

The fourth proportional to 76,565.50, 114,871.55 and 39,151.84 is: 58,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565.50 : 114,871.55 = 39,151.84 : x
  2. Step 2: Convert to fraction form
    76,565.50/114,871.55 = 39,151.84/x
  3. Step 3: Cross multiply
    76,565.50x = 114,871.55 × 39,151.84
  4. Step 4: Simplify right side
    76,565.50x = 4,497,432,546.15
  5. Step 5: Solve for x
    x = 4,497,432,546.15/76,565.50
  6. Step 6: Final answer
    x = 58,739.67

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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.