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Finding the Fourth Proportional to 51,603.29, 71,215.41 and 38,833.50

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Solution

The fourth proportional to 51,603.29, 71,215.41 and 38,833.50 is: 53,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603.29 : 71,215.41 = 38,833.50 : x
  2. Step 2: Convert to fraction form
    51,603.29/71,215.41 = 38,833.50/x
  3. Step 3: Cross multiply
    51,603.29x = 71,215.41 × 38,833.50
  4. Step 4: Simplify right side
    51,603.29x = 2,765,543,624.24
  5. Step 5: Solve for x
    x = 2,765,543,624.24/51,603.29
  6. Step 6: Final answer
    x = 53,592.39

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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.