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Finding the Fourth Proportional to 38,155.94, 52,666.17 and 23,046.20

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Solution

The fourth proportional to 38,155.94, 52,666.17 and 23,046.20 is: 31,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,155.94 : 52,666.17 = 23,046.20 : x
  2. Step 2: Convert to fraction form
    38,155.94/52,666.17 = 23,046.20/x
  3. Step 3: Cross multiply
    38,155.94x = 52,666.17 × 23,046.20
  4. Step 4: Simplify right side
    38,155.94x = 1,213,755,087.05
  5. Step 5: Solve for x
    x = 1,213,755,087.05/38,155.94
  6. Step 6: Final answer
    x = 31,810.38

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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.