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Finding the Fourth Proportional to 78,000.24, 116,995.50 and 22,596.24

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Solution

The fourth proportional to 78,000.24, 116,995.50 and 22,596.24 is: 33,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000.24 : 116,995.50 = 22,596.24 : x
  2. Step 2: Convert to fraction form
    78,000.24/116,995.50 = 22,596.24/x
  3. Step 3: Cross multiply
    78,000.24x = 116,995.50 × 22,596.24
  4. Step 4: Simplify right side
    78,000.24x = 2,643,658,396.92
  5. Step 5: Solve for x
    x = 2,643,658,396.92/78,000.24
  6. Step 6: Final answer
    x = 33,892.95

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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.