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Finding the Fourth Proportional to 66,742.94, 92,096.16 and 39,879.77

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Solution

The fourth proportional to 66,742.94, 92,096.16 and 39,879.77 is: 55,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,742.94 : 92,096.16 = 39,879.77 : x
  2. Step 2: Convert to fraction form
    66,742.94/92,096.16 = 39,879.77/x
  3. Step 3: Cross multiply
    66,742.94x = 92,096.16 × 39,879.77
  4. Step 4: Simplify right side
    66,742.94x = 3,672,773,678.68
  5. Step 5: Solve for x
    x = 3,672,773,678.68/66,742.94
  6. Step 6: Final answer
    x = 55,028.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.