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Finding the Fourth Proportional to 30,184.08, 41,625 and 23,460

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Solution

The fourth proportional to 30,184.08, 41,625 and 23,460 is: 32,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.08 : 41,625 = 23,460 : x
  2. Step 2: Convert to fraction form
    30,184.08/41,625 = 23,460/x
  3. Step 3: Cross multiply
    30,184.08x = 41,625 × 23,460
  4. Step 4: Simplify right side
    30,184.08x = 976,522,500
  5. Step 5: Solve for x
    x = 976,522,500/30,184.08
  6. Step 6: Final answer
    x = 32,352.24

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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.