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Finding the Fourth Proportional to 35,898.29, 53,872.04 and 12,524.73

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Solution

The fourth proportional to 35,898.29, 53,872.04 and 12,524.73 is: 18,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898.29 : 53,872.04 = 12,524.73 : x
  2. Step 2: Convert to fraction form
    35,898.29/53,872.04 = 12,524.73/x
  3. Step 3: Cross multiply
    35,898.29x = 53,872.04 × 12,524.73
  4. Step 4: Simplify right side
    35,898.29x = 674,732,514.39
  5. Step 5: Solve for x
    x = 674,732,514.39/35,898.29
  6. Step 6: Final answer
    x = 18,795.67

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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.