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Finding the Fourth Proportional to 29,304.66, 43,959 and 11,774.46

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Solution

The fourth proportional to 29,304.66, 43,959 and 11,774.46 is: 17,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,304.66 : 43,959 = 11,774.46 : x
  2. Step 2: Convert to fraction form
    29,304.66/43,959 = 11,774.46/x
  3. Step 3: Cross multiply
    29,304.66x = 43,959 × 11,774.46
  4. Step 4: Simplify right side
    29,304.66x = 517,593,487.14
  5. Step 5: Solve for x
    x = 517,593,487.14/29,304.66
  6. Step 6: Final answer
    x = 17,662.50

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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.