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Finding the Fourth Proportional to 67,058.25, 100,434.24 and 32,022.51

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Solution

The fourth proportional to 67,058.25, 100,434.24 and 32,022.51 is: 47,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,058.25 : 100,434.24 = 32,022.51 : x
  2. Step 2: Convert to fraction form
    67,058.25/100,434.24 = 32,022.51/x
  3. Step 3: Cross multiply
    67,058.25x = 100,434.24 × 32,022.51
  4. Step 4: Simplify right side
    67,058.25x = 3,216,156,454.74
  5. Step 5: Solve for x
    x = 3,216,156,454.74/67,058.25
  6. Step 6: Final answer
    x = 47,960.64

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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.