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Finding the Fourth Proportional to 68,142.30, 94,035.69 and 37,927.14

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Solution

The fourth proportional to 68,142.30, 94,035.69 and 37,927.14 is: 52,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,142.30 : 94,035.69 = 37,927.14 : x
  2. Step 2: Convert to fraction form
    68,142.30/94,035.69 = 37,927.14/x
  3. Step 3: Cross multiply
    68,142.30x = 94,035.69 × 37,927.14
  4. Step 4: Simplify right side
    68,142.30x = 3,566,504,779.63
  5. Step 5: Solve for x
    x = 3,566,504,779.63/68,142.30
  6. Step 6: Final answer
    x = 52,339.07

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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.