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Finding the Fourth Proportional to 45,310.32, 67,972.32 and 14,148

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Solution

The fourth proportional to 45,310.32, 67,972.32 and 14,148 is: 21,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,310.32 : 67,972.32 = 14,148 : x
  2. Step 2: Convert to fraction form
    45,310.32/67,972.32 = 14,148/x
  3. Step 3: Cross multiply
    45,310.32x = 67,972.32 × 14,148
  4. Step 4: Simplify right side
    45,310.32x = 961,672,383.36
  5. Step 5: Solve for x
    x = 961,672,383.36/45,310.32
  6. Step 6: Final answer
    x = 21,224.14

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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.