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Finding the Fourth Proportional to 30,753.24, 46,094 and 14,115

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Solution

The fourth proportional to 30,753.24, 46,094 and 14,115 is: 21,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,753.24 : 46,094 = 14,115 : x
  2. Step 2: Convert to fraction form
    30,753.24/46,094 = 14,115/x
  3. Step 3: Cross multiply
    30,753.24x = 46,094 × 14,115
  4. Step 4: Simplify right side
    30,753.24x = 650,616,810
  5. Step 5: Solve for x
    x = 650,616,810/30,753.24
  6. Step 6: Final answer
    x = 21,156.04

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