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Finding the Fourth Proportional to 38,097.38, 52,574.32 and 21,330.38

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Solution

The fourth proportional to 38,097.38, 52,574.32 and 21,330.38 is: 29,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.38 : 52,574.32 = 21,330.38 : x
  2. Step 2: Convert to fraction form
    38,097.38/52,574.32 = 21,330.38/x
  3. Step 3: Cross multiply
    38,097.38x = 52,574.32 × 21,330.38
  4. Step 4: Simplify right side
    38,097.38x = 1,121,430,223.84
  5. Step 5: Solve for x
    x = 1,121,430,223.84/38,097.38
  6. Step 6: Final answer
    x = 29,435.89

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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.