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Finding the Fourth Proportional to 32,429.26, 48,643.90 and 7,805.26

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Solution

The fourth proportional to 32,429.26, 48,643.90 and 7,805.26 is: 11,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.26 : 48,643.90 = 7,805.26 : x
  2. Step 2: Convert to fraction form
    32,429.26/48,643.90 = 7,805.26/x
  3. Step 3: Cross multiply
    32,429.26x = 48,643.90 × 7,805.26
  4. Step 4: Simplify right side
    32,429.26x = 379,678,286.91
  5. Step 5: Solve for x
    x = 379,678,286.91/32,429.26
  6. Step 6: Final answer
    x = 11,707.89

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