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Finding the Fourth Proportional to 38,200.16, 52,715.41 and 21,203.42

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Solution

The fourth proportional to 38,200.16, 52,715.41 and 21,203.42 is: 29,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.16 : 52,715.41 = 21,203.42 : x
  2. Step 2: Convert to fraction form
    38,200.16/52,715.41 = 21,203.42/x
  3. Step 3: Cross multiply
    38,200.16x = 52,715.41 × 21,203.42
  4. Step 4: Simplify right side
    38,200.16x = 1,117,746,662.12
  5. Step 5: Solve for x
    x = 1,117,746,662.12/38,200.16
  6. Step 6: Final answer
    x = 29,260.26

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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.