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Finding the Fourth Proportional to 38,644.40, 53,321.28 and 22,717.64

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Solution

The fourth proportional to 38,644.40, 53,321.28 and 22,717.64 is: 31,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.40 : 53,321.28 = 22,717.64 : x
  2. Step 2: Convert to fraction form
    38,644.40/53,321.28 = 22,717.64/x
  3. Step 3: Cross multiply
    38,644.40x = 53,321.28 × 22,717.64
  4. Step 4: Simplify right side
    38,644.40x = 1,211,333,643.38
  5. Step 5: Solve for x
    x = 1,211,333,643.38/38,644.40
  6. Step 6: Final answer
    x = 31,345.64

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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.