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Finding the Fourth Proportional to 57,193.32, 85,806.18 and 23,929.32

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Solution

The fourth proportional to 57,193.32, 85,806.18 and 23,929.32 is: 35,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,193.32 : 85,806.18 = 23,929.32 : x
  2. Step 2: Convert to fraction form
    57,193.32/85,806.18 = 23,929.32/x
  3. Step 3: Cross multiply
    57,193.32x = 85,806.18 × 23,929.32
  4. Step 4: Simplify right side
    57,193.32x = 2,053,283,539.20
  5. Step 5: Solve for x
    x = 2,053,283,539.20/57,193.32
  6. Step 6: Final answer
    x = 35,900.76

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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.