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Finding the Fourth Proportional to 76,154.02, 114,254.38 and 34,069.52

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Solution

The fourth proportional to 76,154.02, 114,254.38 and 34,069.52 is: 51,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,154.02 : 114,254.38 = 34,069.52 : x
  2. Step 2: Convert to fraction form
    76,154.02/114,254.38 = 34,069.52/x
  3. Step 3: Cross multiply
    76,154.02x = 114,254.38 × 34,069.52
  4. Step 4: Simplify right side
    76,154.02x = 3,892,591,884.50
  5. Step 5: Solve for x
    x = 3,892,591,884.50/76,154.02
  6. Step 6: Final answer
    x = 51,114.73

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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.