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Finding the Fourth Proportional to 35,532.88, 53,241 and 12,146.56

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Solution

The fourth proportional to 35,532.88, 53,241 and 12,146.56 is: 18,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,532.88 : 53,241 = 12,146.56 : x
  2. Step 2: Convert to fraction form
    35,532.88/53,241 = 12,146.56/x
  3. Step 3: Cross multiply
    35,532.88x = 53,241 × 12,146.56
  4. Step 4: Simplify right side
    35,532.88x = 646,695,000.96
  5. Step 5: Solve for x
    x = 646,695,000.96/35,532.88
  6. Step 6: Final answer
    x = 18,199.90

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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.