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Finding the Fourth Proportional to 75,820.76, 113,497.86 and 49,468.76

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Solution

The fourth proportional to 75,820.76, 113,497.86 and 49,468.76 is: 74,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,820.76 : 113,497.86 = 49,468.76 : x
  2. Step 2: Convert to fraction form
    75,820.76/113,497.86 = 49,468.76/x
  3. Step 3: Cross multiply
    75,820.76x = 113,497.86 × 49,468.76
  4. Step 4: Simplify right side
    75,820.76x = 5,614,598,396.85
  5. Step 5: Solve for x
    x = 5,614,598,396.85/75,820.76
  6. Step 6: Final answer
    x = 74,050.94

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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.