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Finding the Fourth Proportional to 32,952.86, 45,474.71 and 17,845.17

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Solution

The fourth proportional to 32,952.86, 45,474.71 and 17,845.17 is: 24,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.86 : 45,474.71 = 17,845.17 : x
  2. Step 2: Convert to fraction form
    32,952.86/45,474.71 = 17,845.17/x
  3. Step 3: Cross multiply
    32,952.86x = 45,474.71 × 17,845.17
  4. Step 4: Simplify right side
    32,952.86x = 811,503,841.42
  5. Step 5: Solve for x
    x = 811,503,841.42/32,952.86
  6. Step 6: Final answer
    x = 24,626.21

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Why These Related Problems?

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