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Finding the Fourth Proportional to 30,398.34, 41,967.16 and 23,171.52

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Solution

The fourth proportional to 30,398.34, 41,967.16 and 23,171.52 is: 31,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.34 : 41,967.16 = 23,171.52 : x
  2. Step 2: Convert to fraction form
    30,398.34/41,967.16 = 23,171.52/x
  3. Step 3: Cross multiply
    30,398.34x = 41,967.16 × 23,171.52
  4. Step 4: Simplify right side
    30,398.34x = 972,442,887.28
  5. Step 5: Solve for x
    x = 972,442,887.28/30,398.34
  6. Step 6: Final answer
    x = 31,990.00

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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.