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Finding the Fourth Proportional to 30,602.64, 42,231.87 and 17,174.19

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Solution

The fourth proportional to 30,602.64, 42,231.87 and 17,174.19 is: 23,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.64 : 42,231.87 = 17,174.19 : x
  2. Step 2: Convert to fraction form
    30,602.64/42,231.87 = 17,174.19/x
  3. Step 3: Cross multiply
    30,602.64x = 42,231.87 × 17,174.19
  4. Step 4: Simplify right side
    30,602.64x = 725,298,159.44
  5. Step 5: Solve for x
    x = 725,298,159.44/30,602.64
  6. Step 6: Final answer
    x = 23,700.51

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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.