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Finding the Fourth Proportional to 92,469.21, 138,703.83 and 22,348.51

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Solution

The fourth proportional to 92,469.21, 138,703.83 and 22,348.51 is: 33,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,469.21 : 138,703.83 = 22,348.51 : x
  2. Step 2: Convert to fraction form
    92,469.21/138,703.83 = 22,348.51/x
  3. Step 3: Cross multiply
    92,469.21x = 138,703.83 × 22,348.51
  4. Step 4: Simplify right side
    92,469.21x = 3,099,823,931.79
  5. Step 5: Solve for x
    x = 3,099,823,931.79/92,469.21
  6. Step 6: Final answer
    x = 33,522.77

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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.