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Finding the Fourth Proportional to 59,755.76, 82,467.75 and 34,264.50

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Solution

The fourth proportional to 59,755.76, 82,467.75 and 34,264.50 is: 47,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,755.76 : 82,467.75 = 34,264.50 : x
  2. Step 2: Convert to fraction form
    59,755.76/82,467.75 = 34,264.50/x
  3. Step 3: Cross multiply
    59,755.76x = 82,467.75 × 34,264.50
  4. Step 4: Simplify right side
    59,755.76x = 2,825,716,219.88
  5. Step 5: Solve for x
    x = 2,825,716,219.88/59,755.76
  6. Step 6: Final answer
    x = 47,287.76

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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.