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Finding the Fourth Proportional to 41,234.80, 61,848.10 and 19,047.86

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Solution

The fourth proportional to 41,234.80, 61,848.10 and 19,047.86 is: 28,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,234.80 : 61,848.10 = 19,047.86 : x
  2. Step 2: Convert to fraction form
    41,234.80/61,848.10 = 19,047.86/x
  3. Step 3: Cross multiply
    41,234.80x = 61,848.10 × 19,047.86
  4. Step 4: Simplify right side
    41,234.80x = 1,178,073,669.05
  5. Step 5: Solve for x
    x = 1,178,073,669.05/41,234.80
  6. Step 6: Final answer
    x = 28,569.89

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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.