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Finding the Fourth Proportional to 38,410.17, 57,623.04 and 16,223.46

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Solution

The fourth proportional to 38,410.17, 57,623.04 and 16,223.46 is: 24,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.17 : 57,623.04 = 16,223.46 : x
  2. Step 2: Convert to fraction form
    38,410.17/57,623.04 = 16,223.46/x
  3. Step 3: Cross multiply
    38,410.17x = 57,623.04 × 16,223.46
  4. Step 4: Simplify right side
    38,410.17x = 934,845,084.52
  5. Step 5: Solve for x
    x = 934,845,084.52/38,410.17
  6. Step 6: Final answer
    x = 24,338.48

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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.