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Finding the Fourth Proportional to 45,588.80, 68,376.36 and 14,420

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Solution

The fourth proportional to 45,588.80, 68,376.36 and 14,420 is: 21,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,588.80 : 68,376.36 = 14,420 : x
  2. Step 2: Convert to fraction form
    45,588.80/68,376.36 = 14,420/x
  3. Step 3: Cross multiply
    45,588.80x = 68,376.36 × 14,420
  4. Step 4: Simplify right side
    45,588.80x = 985,987,111.20
  5. Step 5: Solve for x
    x = 985,987,111.20/45,588.80
  6. Step 6: Final answer
    x = 21,627.84

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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.