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Finding the Fourth Proportional to 53,617.68, 73,981.62 and 32,398.11

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Solution

The fourth proportional to 53,617.68, 73,981.62 and 32,398.11 is: 44,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,617.68 : 73,981.62 = 32,398.11 : x
  2. Step 2: Convert to fraction form
    53,617.68/73,981.62 = 32,398.11/x
  3. Step 3: Cross multiply
    53,617.68x = 73,981.62 × 32,398.11
  4. Step 4: Simplify right side
    53,617.68x = 2,396,864,662.74
  5. Step 5: Solve for x
    x = 2,396,864,662.74/53,617.68
  6. Step 6: Final answer
    x = 44,702.88

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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.