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Finding the Fourth Proportional to 67,064.64, 92,551.20 and 37,256

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Solution

The fourth proportional to 67,064.64, 92,551.20 and 37,256 is: 51,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,064.64 : 92,551.20 = 37,256 : x
  2. Step 2: Convert to fraction form
    67,064.64/92,551.20 = 37,256/x
  3. Step 3: Cross multiply
    67,064.64x = 92,551.20 × 37,256
  4. Step 4: Simplify right side
    67,064.64x = 3,448,087,507.20
  5. Step 5: Solve for x
    x = 3,448,087,507.20/67,064.64
  6. Step 6: Final answer
    x = 51,414.39

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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.