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Finding the Fourth Proportional to 35,212.16, 52,817.16 and 14,420

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Solution

The fourth proportional to 35,212.16, 52,817.16 and 14,420 is: 21,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,212.16 : 52,817.16 = 14,420 : x
  2. Step 2: Convert to fraction form
    35,212.16/52,817.16 = 14,420/x
  3. Step 3: Cross multiply
    35,212.16x = 52,817.16 × 14,420
  4. Step 4: Simplify right side
    35,212.16x = 761,623,447.20
  5. Step 5: Solve for x
    x = 761,623,447.20/35,212.16
  6. Step 6: Final answer
    x = 21,629.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.