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Finding the Fourth Proportional to 68,521.80, 102,782.70 and 61,264.20

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Solution

The fourth proportional to 68,521.80, 102,782.70 and 61,264.20 is: 91,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,521.80 : 102,782.70 = 61,264.20 : x
  2. Step 2: Convert to fraction form
    68,521.80/102,782.70 = 61,264.20/x
  3. Step 3: Cross multiply
    68,521.80x = 102,782.70 × 61,264.20
  4. Step 4: Simplify right side
    68,521.80x = 6,296,899,889.34
  5. Step 5: Solve for x
    x = 6,296,899,889.34/68,521.80
  6. Step 6: Final answer
    x = 91,896.30

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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.