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Finding the Fourth Proportional to 29,123.50, 43,685.28 and 7,235.50

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Solution

The fourth proportional to 29,123.50, 43,685.28 and 7,235.50 is: 10,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,123.50 : 43,685.28 = 7,235.50 : x
  2. Step 2: Convert to fraction form
    29,123.50/43,685.28 = 7,235.50/x
  3. Step 3: Cross multiply
    29,123.50x = 43,685.28 × 7,235.50
  4. Step 4: Simplify right side
    29,123.50x = 316,084,843.44
  5. Step 5: Solve for x
    x = 316,084,843.44/29,123.50
  6. Step 6: Final answer
    x = 10,853.26

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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.