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Finding the Fourth Proportional to 71,384.30, 107,076.45 and 21,472.10

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Solution

The fourth proportional to 71,384.30, 107,076.45 and 21,472.10 is: 32,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,384.30 : 107,076.45 = 21,472.10 : x
  2. Step 2: Convert to fraction form
    71,384.30/107,076.45 = 21,472.10/x
  3. Step 3: Cross multiply
    71,384.30x = 107,076.45 × 21,472.10
  4. Step 4: Simplify right side
    71,384.30x = 2,299,156,242.05
  5. Step 5: Solve for x
    x = 2,299,156,242.05/71,384.30
  6. Step 6: Final answer
    x = 32,208.15

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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.