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Finding the Fourth Proportional to 76,806.50, 115,255.11 and 32,430.38

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Solution

The fourth proportional to 76,806.50, 115,255.11 and 32,430.38 is: 48,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,806.50 : 115,255.11 = 32,430.38 : x
  2. Step 2: Convert to fraction form
    76,806.50/115,255.11 = 32,430.38/x
  3. Step 3: Cross multiply
    76,806.50x = 115,255.11 × 32,430.38
  4. Step 4: Simplify right side
    76,806.50x = 3,737,767,014.24
  5. Step 5: Solve for x
    x = 3,737,767,014.24/76,806.50
  6. Step 6: Final answer
    x = 48,664.72

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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.