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Finding the Fourth Proportional to 38,200.46, 52,715.64 and 21,204.20

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Solution

The fourth proportional to 38,200.46, 52,715.64 and 21,204.20 is: 29,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.46 : 52,715.64 = 21,204.20 : x
  2. Step 2: Convert to fraction form
    38,200.46/52,715.64 = 21,204.20/x
  3. Step 3: Cross multiply
    38,200.46x = 52,715.64 × 21,204.20
  4. Step 4: Simplify right side
    38,200.46x = 1,117,792,710.11
  5. Step 5: Solve for x
    x = 1,117,792,710.11/38,200.46
  6. Step 6: Final answer
    x = 29,261.24

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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.