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Finding the Fourth Proportional to 45,546.75, 68,320.13 and 14,382

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Solution

The fourth proportional to 45,546.75, 68,320.13 and 14,382 is: 21,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,546.75 : 68,320.13 = 14,382 : x
  2. Step 2: Convert to fraction form
    45,546.75/68,320.13 = 14,382/x
  3. Step 3: Cross multiply
    45,546.75x = 68,320.13 × 14,382
  4. Step 4: Simplify right side
    45,546.75x = 982,580,037.75
  5. Step 5: Solve for x
    x = 982,580,037.75/45,546.75
  6. Step 6: Final answer
    x = 21,573

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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.