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Finding the Fourth Proportional to 67,056, 100,430.91 and 32,020.26

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Solution

The fourth proportional to 67,056, 100,430.91 and 32,020.26 is: 47,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,056 : 100,430.91 = 32,020.26 : x
  2. Step 2: Convert to fraction form
    67,056/100,430.91 = 32,020.26/x
  3. Step 3: Cross multiply
    67,056x = 100,430.91 × 32,020.26
  4. Step 4: Simplify right side
    67,056x = 3,215,823,850.24
  5. Step 5: Solve for x
    x = 3,215,823,850.24/67,056
  6. Step 6: Final answer
    x = 47,957.29

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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.