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Finding the Fourth Proportional to 59,754.76, 82,466.37 and 34,263.50

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Solution

The fourth proportional to 59,754.76, 82,466.37 and 34,263.50 is: 47,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,754.76 : 82,466.37 = 34,263.50 : x
  2. Step 2: Convert to fraction form
    59,754.76/82,466.37 = 34,263.50/x
  3. Step 3: Cross multiply
    59,754.76x = 82,466.37 × 34,263.50
  4. Step 4: Simplify right side
    59,754.76x = 2,825,586,056.16
  5. Step 5: Solve for x
    x = 2,825,586,056.16/59,754.76
  6. Step 6: Final answer
    x = 47,286.38

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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.