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Finding the Fourth Proportional to 71,096, 106,644.48 and 24,349.28

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Solution

The fourth proportional to 71,096, 106,644.48 and 24,349.28 is: 36,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,096 : 106,644.48 = 24,349.28 : x
  2. Step 2: Convert to fraction form
    71,096/106,644.48 = 24,349.28/x
  3. Step 3: Cross multiply
    71,096x = 106,644.48 × 24,349.28
  4. Step 4: Simplify right side
    71,096x = 2,596,716,303.97
  5. Step 5: Solve for x
    x = 2,596,716,303.97/71,096
  6. Step 6: Final answer
    x = 36,524.08

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Why These Related Problems?

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