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Finding the Fourth Proportional to 38,257.69, 52,795.57 and 21,261.40

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Solution

The fourth proportional to 38,257.69, 52,795.57 and 21,261.40 is: 29,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257.69 : 52,795.57 = 21,261.40 : x
  2. Step 2: Convert to fraction form
    38,257.69/52,795.57 = 21,261.40/x
  3. Step 3: Cross multiply
    38,257.69x = 52,795.57 × 21,261.40
  4. Step 4: Simplify right side
    38,257.69x = 1,122,507,361.71
  5. Step 5: Solve for x
    x = 1,122,507,361.71/38,257.69
  6. Step 6: Final answer
    x = 29,340.70

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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.