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Finding the Fourth Proportional to 71,096.72, 106,650.75 and 24,350

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Solution

The fourth proportional to 71,096.72, 106,650.75 and 24,350 is: 36,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,096.72 : 106,650.75 = 24,350 : x
  2. Step 2: Convert to fraction form
    71,096.72/106,650.75 = 24,350/x
  3. Step 3: Cross multiply
    71,096.72x = 106,650.75 × 24,350
  4. Step 4: Simplify right side
    71,096.72x = 2,596,945,762.50
  5. Step 5: Solve for x
    x = 2,596,945,762.50/71,096.72
  6. Step 6: Final answer
    x = 36,526.94

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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.