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Finding the Fourth Proportional to 35,534.50, 53,302.02 and 12,161.14

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Solution

The fourth proportional to 35,534.50, 53,302.02 and 12,161.14 is: 18,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534.50 : 53,302.02 = 12,161.14 : x
  2. Step 2: Convert to fraction form
    35,534.50/53,302.02 = 12,161.14/x
  3. Step 3: Cross multiply
    35,534.50x = 53,302.02 × 12,161.14
  4. Step 4: Simplify right side
    35,534.50x = 648,213,327.50
  5. Step 5: Solve for x
    x = 648,213,327.50/35,534.50
  6. Step 6: Final answer
    x = 18,241.80

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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.