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Finding the Fourth Proportional to 46,114.35, 69,193.40 and 27,431.22

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Solution

The fourth proportional to 46,114.35, 69,193.40 and 27,431.22 is: 41,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,114.35 : 69,193.40 = 27,431.22 : x
  2. Step 2: Convert to fraction form
    46,114.35/69,193.40 = 27,431.22/x
  3. Step 3: Cross multiply
    46,114.35x = 69,193.40 × 27,431.22
  4. Step 4: Simplify right side
    46,114.35x = 1,898,059,377.95
  5. Step 5: Solve for x
    x = 1,898,059,377.95/46,114.35
  6. Step 6: Final answer
    x = 41,159.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.