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Finding the Fourth Proportional to 32,358.70, 44,542.74 and 27,897.22

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Solution

The fourth proportional to 32,358.70, 44,542.74 and 27,897.22 is: 38,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,358.70 : 44,542.74 = 27,897.22 : x
  2. Step 2: Convert to fraction form
    32,358.70/44,542.74 = 27,897.22/x
  3. Step 3: Cross multiply
    32,358.70x = 44,542.74 × 27,897.22
  4. Step 4: Simplify right side
    32,358.70x = 1,242,618,617.18
  5. Step 5: Solve for x
    x = 1,242,618,617.18/32,358.70
  6. Step 6: Final answer
    x = 38,401.38

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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.