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Finding the Fourth Proportional to 29,297.25, 43,909.31 and 14,292

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Solution

The fourth proportional to 29,297.25, 43,909.31 and 14,292 is: 21,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,297.25 : 43,909.31 = 14,292 : x
  2. Step 2: Convert to fraction form
    29,297.25/43,909.31 = 14,292/x
  3. Step 3: Cross multiply
    29,297.25x = 43,909.31 × 14,292
  4. Step 4: Simplify right side
    29,297.25x = 627,551,787.06
  5. Step 5: Solve for x
    x = 627,551,787.06/29,297.25
  6. Step 6: Final answer
    x = 21,420.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.