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Finding the Fourth Proportional to 32,992, 45,528.96 and 18,088.32

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Solution

The fourth proportional to 32,992, 45,528.96 and 18,088.32 is: 24,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992 : 45,528.96 = 18,088.32 : x
  2. Step 2: Convert to fraction form
    32,992/45,528.96 = 18,088.32/x
  3. Step 3: Cross multiply
    32,992x = 45,528.96 × 18,088.32
  4. Step 4: Simplify right side
    32,992x = 823,542,397.75
  5. Step 5: Solve for x
    x = 823,542,397.75/32,992
  6. Step 6: Final answer
    x = 24,961.88

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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.