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Finding the Fourth Proportional to 38,097, 52,572.24 and 21,101.18

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Solution

The fourth proportional to 38,097, 52,572.24 and 21,101.18 is: 29,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097 : 52,572.24 = 21,101.18 : x
  2. Step 2: Convert to fraction form
    38,097/52,572.24 = 21,101.18/x
  3. Step 3: Cross multiply
    38,097x = 52,572.24 × 21,101.18
  4. Step 4: Simplify right side
    38,097x = 1,109,336,036.38
  5. Step 5: Solve for x
    x = 1,109,336,036.38/38,097
  6. Step 6: Final answer
    x = 29,118.72

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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.