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Finding the Fourth Proportional to 68,534.28, 102,835.44 and 46,298.88

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Solution

The fourth proportional to 68,534.28, 102,835.44 and 46,298.88 is: 69,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,534.28 : 102,835.44 = 46,298.88 : x
  2. Step 2: Convert to fraction form
    68,534.28/102,835.44 = 46,298.88/x
  3. Step 3: Cross multiply
    68,534.28x = 102,835.44 × 46,298.88
  4. Step 4: Simplify right side
    68,534.28x = 4,761,165,696.31
  5. Step 5: Solve for x
    x = 4,761,165,696.31/68,534.28
  6. Step 6: Final answer
    x = 69,471.30

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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.