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Finding the Fourth Proportional to 32,046.69, 44,224.16 and 17,706.47

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Solution

The fourth proportional to 32,046.69, 44,224.16 and 17,706.47 is: 24,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.69 : 44,224.16 = 17,706.47 : x
  2. Step 2: Convert to fraction form
    32,046.69/44,224.16 = 17,706.47/x
  3. Step 3: Cross multiply
    32,046.69x = 44,224.16 × 17,706.47
  4. Step 4: Simplify right side
    32,046.69x = 783,054,000.10
  5. Step 5: Solve for x
    x = 783,054,000.10/32,046.69
  6. Step 6: Final answer
    x = 24,434.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.