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Finding the Fourth Proportional to 32,759.82, 45,208.53 and 17,855.82

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Solution

The fourth proportional to 32,759.82, 45,208.53 and 17,855.82 is: 24,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,759.82 : 45,208.53 = 17,855.82 : x
  2. Step 2: Convert to fraction form
    32,759.82/45,208.53 = 17,855.82/x
  3. Step 3: Cross multiply
    32,759.82x = 45,208.53 × 17,855.82
  4. Step 4: Simplify right side
    32,759.82x = 807,235,374.14
  5. Step 5: Solve for x
    x = 807,235,374.14/32,759.82
  6. Step 6: Final answer
    x = 24,641.02

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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.