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Finding the Fourth Proportional to 76,102.94, 114,155.17 and 33,985.16

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Solution

The fourth proportional to 76,102.94, 114,155.17 and 33,985.16 is: 50,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.94 : 114,155.17 = 33,985.16 : x
  2. Step 2: Convert to fraction form
    76,102.94/114,155.17 = 33,985.16/x
  3. Step 3: Cross multiply
    76,102.94x = 114,155.17 × 33,985.16
  4. Step 4: Simplify right side
    76,102.94x = 3,879,582,087.63
  5. Step 5: Solve for x
    x = 3,879,582,087.63/76,102.94
  6. Step 6: Final answer
    x = 50,978.09

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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.