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Finding the Fourth Proportional to 67,640.80, 101,461.20 and 64,415.20

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Solution

The fourth proportional to 67,640.80, 101,461.20 and 64,415.20 is: 96,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,640.80 : 101,461.20 = 64,415.20 : x
  2. Step 2: Convert to fraction form
    67,640.80/101,461.20 = 64,415.20/x
  3. Step 3: Cross multiply
    67,640.80x = 101,461.20 × 64,415.20
  4. Step 4: Simplify right side
    67,640.80x = 6,535,643,490.24
  5. Step 5: Solve for x
    x = 6,535,643,490.24/67,640.80
  6. Step 6: Final answer
    x = 96,622.80

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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.