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Finding the Fourth Proportional to 61,892.74, 92,844.06 and 19,778.82

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Solution

The fourth proportional to 61,892.74, 92,844.06 and 19,778.82 is: 29,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,892.74 : 92,844.06 = 19,778.82 : x
  2. Step 2: Convert to fraction form
    61,892.74/92,844.06 = 19,778.82/x
  3. Step 3: Cross multiply
    61,892.74x = 92,844.06 × 19,778.82
  4. Step 4: Simplify right side
    61,892.74x = 1,836,345,950.81
  5. Step 5: Solve for x
    x = 1,836,345,950.81/61,892.74
  6. Step 6: Final answer
    x = 29,669.81

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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.