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Finding the Fourth Proportional to 71,628.40, 107,404.80 and 24,227.20

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Solution

The fourth proportional to 71,628.40, 107,404.80 and 24,227.20 is: 36,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,628.40 : 107,404.80 = 24,227.20 : x
  2. Step 2: Convert to fraction form
    71,628.40/107,404.80 = 24,227.20/x
  3. Step 3: Cross multiply
    71,628.40x = 107,404.80 × 24,227.20
  4. Step 4: Simplify right side
    71,628.40x = 2,602,117,570.56
  5. Step 5: Solve for x
    x = 2,602,117,570.56/71,628.40
  6. Step 6: Final answer
    x = 36,328.01

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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.