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Finding the Fourth Proportional to 35,144.67, 52,748.19 and 16,434.89

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Solution

The fourth proportional to 35,144.67, 52,748.19 and 16,434.89 is: 24,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,144.67 : 52,748.19 = 16,434.89 : x
  2. Step 2: Convert to fraction form
    35,144.67/52,748.19 = 16,434.89/x
  3. Step 3: Cross multiply
    35,144.67x = 52,748.19 × 16,434.89
  4. Step 4: Simplify right side
    35,144.67x = 866,910,700.35
  5. Step 5: Solve for x
    x = 866,910,700.35/35,144.67
  6. Step 6: Final answer
    x = 24,666.92

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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.