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Finding the Fourth Proportional to 32,633, 45,033.54 and 17,729

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Solution

The fourth proportional to 32,633, 45,033.54 and 17,729 is: 24,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,633 : 45,033.54 = 17,729 : x
  2. Step 2: Convert to fraction form
    32,633/45,033.54 = 17,729/x
  3. Step 3: Cross multiply
    32,633x = 45,033.54 × 17,729
  4. Step 4: Simplify right side
    32,633x = 798,399,630.66
  5. Step 5: Solve for x
    x = 798,399,630.66/32,633
  6. Step 6: Final answer
    x = 24,466.02

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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.