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Finding the Fourth Proportional to 38,617.83, 53,292.74 and 21,622.82

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Solution

The fourth proportional to 38,617.83, 53,292.74 and 21,622.82 is: 29,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,617.83 : 53,292.74 = 21,622.82 : x
  2. Step 2: Convert to fraction form
    38,617.83/53,292.74 = 21,622.82/x
  3. Step 3: Cross multiply
    38,617.83x = 53,292.74 × 21,622.82
  4. Step 4: Simplify right side
    38,617.83x = 1,152,338,949.75
  5. Step 5: Solve for x
    x = 1,152,338,949.75/38,617.83
  6. Step 6: Final answer
    x = 29,839.56

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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.