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Finding the Fourth Proportional to 32,602.68, 48,884.34 and 17,791.02

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Solution

The fourth proportional to 32,602.68, 48,884.34 and 17,791.02 is: 26,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.68 : 48,884.34 = 17,791.02 : x
  2. Step 2: Convert to fraction form
    32,602.68/48,884.34 = 17,791.02/x
  3. Step 3: Cross multiply
    32,602.68x = 48,884.34 × 17,791.02
  4. Step 4: Simplify right side
    32,602.68x = 869,702,270.63
  5. Step 5: Solve for x
    x = 869,702,270.63/32,602.68
  6. Step 6: Final answer
    x = 26,675.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.