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Finding the Fourth Proportional to 61,961.69, 92,699.24 and 47,814.84

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Solution

The fourth proportional to 61,961.69, 92,699.24 and 47,814.84 is: 71,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,961.69 : 92,699.24 = 47,814.84 : x
  2. Step 2: Convert to fraction form
    61,961.69/92,699.24 = 47,814.84/x
  3. Step 3: Cross multiply
    61,961.69x = 92,699.24 × 47,814.84
  4. Step 4: Simplify right side
    61,961.69x = 4,432,399,089.65
  5. Step 5: Solve for x
    x = 4,432,399,089.65/61,961.69
  6. Step 6: Final answer
    x = 71,534.51

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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.