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Finding the Fourth Proportional to 75,714.90, 104,486.35 and 41,723.38

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Solution

The fourth proportional to 75,714.90, 104,486.35 and 41,723.38 is: 57,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714.90 : 104,486.35 = 41,723.38 : x
  2. Step 2: Convert to fraction form
    75,714.90/104,486.35 = 41,723.38/x
  3. Step 3: Cross multiply
    75,714.90x = 104,486.35 × 41,723.38
  4. Step 4: Simplify right side
    75,714.90x = 4,359,523,907.74
  5. Step 5: Solve for x
    x = 4,359,523,907.74/75,714.90
  6. Step 6: Final answer
    x = 57,578.15

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