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Finding the Fourth Proportional to 22,039, 33,058.50 and 20,931.64

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Solution

The fourth proportional to 22,039, 33,058.50 and 20,931.64 is: 31,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,039 : 33,058.50 = 20,931.64 : x
  2. Step 2: Convert to fraction form
    22,039/33,058.50 = 20,931.64/x
  3. Step 3: Cross multiply
    22,039x = 33,058.50 × 20,931.64
  4. Step 4: Simplify right side
    22,039x = 691,968,620.94
  5. Step 5: Solve for x
    x = 691,968,620.94/22,039
  6. Step 6: Final answer
    x = 31,397.46

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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.