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Finding the Fourth Proportional to 32,773.16, 45,226.86 and 17,869.16

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Solution

The fourth proportional to 32,773.16, 45,226.86 and 17,869.16 is: 24,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,773.16 : 45,226.86 = 17,869.16 : x
  2. Step 2: Convert to fraction form
    32,773.16/45,226.86 = 17,869.16/x
  3. Step 3: Cross multiply
    32,773.16x = 45,226.86 × 17,869.16
  4. Step 4: Simplify right side
    32,773.16x = 808,165,997.64
  5. Step 5: Solve for x
    x = 808,165,997.64/32,773.16
  6. Step 6: Final answer
    x = 24,659.39

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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.