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Finding the Fourth Proportional to 38,253, 52,794.09 and 21,486

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Solution

The fourth proportional to 38,253, 52,794.09 and 21,486 is: 29,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,253 : 52,794.09 = 21,486 : x
  2. Step 2: Convert to fraction form
    38,253/52,794.09 = 21,486/x
  3. Step 3: Cross multiply
    38,253x = 52,794.09 × 21,486
  4. Step 4: Simplify right side
    38,253x = 1,134,333,817.74
  5. Step 5: Solve for x
    x = 1,134,333,817.74/38,253
  6. Step 6: Final answer
    x = 29,653.46

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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.