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Finding the Fourth Proportional to 49,096, 67,750.05 and 29,953.68

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Solution

The fourth proportional to 49,096, 67,750.05 and 29,953.68 is: 41,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,096 : 67,750.05 = 29,953.68 : x
  2. Step 2: Convert to fraction form
    49,096/67,750.05 = 29,953.68/x
  3. Step 3: Cross multiply
    49,096x = 67,750.05 × 29,953.68
  4. Step 4: Simplify right side
    49,096x = 2,029,363,317.68
  5. Step 5: Solve for x
    x = 2,029,363,317.68/49,096
  6. Step 6: Final answer
    x = 41,334.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.