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Finding the Fourth Proportional to 45,418.32, 68,134.32 and 14,256

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Solution

The fourth proportional to 45,418.32, 68,134.32 and 14,256 is: 21,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,418.32 : 68,134.32 = 14,256 : x
  2. Step 2: Convert to fraction form
    45,418.32/68,134.32 = 14,256/x
  3. Step 3: Cross multiply
    45,418.32x = 68,134.32 × 14,256
  4. Step 4: Simplify right side
    45,418.32x = 971,322,865.92
  5. Step 5: Solve for x
    x = 971,322,865.92/45,418.32
  6. Step 6: Final answer
    x = 21,386.15

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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.