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Finding the Fourth Proportional to 59,378.52, 81,942.90 and 34,228.02

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Solution

The fourth proportional to 59,378.52, 81,942.90 and 34,228.02 is: 47,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,378.52 : 81,942.90 = 34,228.02 : x
  2. Step 2: Convert to fraction form
    59,378.52/81,942.90 = 34,228.02/x
  3. Step 3: Cross multiply
    59,378.52x = 81,942.90 × 34,228.02
  4. Step 4: Simplify right side
    59,378.52x = 2,804,743,220.06
  5. Step 5: Solve for x
    x = 2,804,743,220.06/59,378.52
  6. Step 6: Final answer
    x = 47,234.98

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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.