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Finding the Fourth Proportional to 30,279.12, 45,353.04 and 14,664

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Solution

The fourth proportional to 30,279.12, 45,353.04 and 14,664 is: 21,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279.12 : 45,353.04 = 14,664 : x
  2. Step 2: Convert to fraction form
    30,279.12/45,353.04 = 14,664/x
  3. Step 3: Cross multiply
    30,279.12x = 45,353.04 × 14,664
  4. Step 4: Simplify right side
    30,279.12x = 665,056,978.56
  5. Step 5: Solve for x
    x = 665,056,978.56/30,279.12
  6. Step 6: Final answer
    x = 21,964.21

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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.