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Finding the Fourth Proportional to 38,137.50, 52,631.28 and 22,223.34

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Solution

The fourth proportional to 38,137.50, 52,631.28 and 22,223.34 is: 30,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,137.50 : 52,631.28 = 22,223.34 : x
  2. Step 2: Convert to fraction form
    38,137.50/52,631.28 = 22,223.34/x
  3. Step 3: Cross multiply
    38,137.50x = 52,631.28 × 22,223.34
  4. Step 4: Simplify right side
    38,137.50x = 1,169,642,830.08
  5. Step 5: Solve for x
    x = 1,169,642,830.08/38,137.50
  6. Step 6: Final answer
    x = 30,669.10

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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.