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Finding the Fourth Proportional to 35,224.81, 52,858.68 and 14,160.90

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Solution

The fourth proportional to 35,224.81, 52,858.68 and 14,160.90 is: 21,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224.81 : 52,858.68 = 14,160.90 : x
  2. Step 2: Convert to fraction form
    35,224.81/52,858.68 = 14,160.90/x
  3. Step 3: Cross multiply
    35,224.81x = 52,858.68 × 14,160.90
  4. Step 4: Simplify right side
    35,224.81x = 748,526,481.61
  5. Step 5: Solve for x
    x = 748,526,481.61/35,224.81
  6. Step 6: Final answer
    x = 21,249.98

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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.