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Finding the Fourth Proportional to 32,657, 45,066.98 and 17,753.32

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Solution

The fourth proportional to 32,657, 45,066.98 and 17,753.32 is: 24,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657 : 45,066.98 = 17,753.32 : x
  2. Step 2: Convert to fraction form
    32,657/45,066.98 = 17,753.32/x
  3. Step 3: Cross multiply
    32,657x = 45,066.98 × 17,753.32
  4. Step 4: Simplify right side
    32,657x = 800,088,517.37
  5. Step 5: Solve for x
    x = 800,088,517.37/32,657
  6. Step 6: Final answer
    x = 24,499.76

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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.