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Finding the Fourth Proportional to 42,224.48, 63,343.20 and 14,516

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Solution

The fourth proportional to 42,224.48, 63,343.20 and 14,516 is: 21,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,224.48 : 63,343.20 = 14,516 : x
  2. Step 2: Convert to fraction form
    42,224.48/63,343.20 = 14,516/x
  3. Step 3: Cross multiply
    42,224.48x = 63,343.20 × 14,516
  4. Step 4: Simplify right side
    42,224.48x = 919,489,891.20
  5. Step 5: Solve for x
    x = 919,489,891.20/42,224.48
  6. Step 6: Final answer
    x = 21,776.23

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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.