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Finding the Fourth Proportional to 77,622.98, 116,337.07 and 33,197.50

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Solution

The fourth proportional to 77,622.98, 116,337.07 and 33,197.50 is: 49,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,622.98 : 116,337.07 = 33,197.50 : x
  2. Step 2: Convert to fraction form
    77,622.98/116,337.07 = 33,197.50/x
  3. Step 3: Cross multiply
    77,622.98x = 116,337.07 × 33,197.50
  4. Step 4: Simplify right side
    77,622.98x = 3,862,099,133.65
  5. Step 5: Solve for x
    x = 3,862,099,133.65/77,622.98
  6. Step 6: Final answer
    x = 49,754.58

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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.