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Finding the Fourth Proportional to 114,532.76, 171,614.46 and 61,967

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Solution

The fourth proportional to 114,532.76, 171,614.46 and 61,967 is: 92,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,532.76 : 171,614.46 = 61,967 : x
  2. Step 2: Convert to fraction form
    114,532.76/171,614.46 = 61,967/x
  3. Step 3: Cross multiply
    114,532.76x = 171,614.46 × 61,967
  4. Step 4: Simplify right side
    114,532.76x = 10,634,433,242.82
  5. Step 5: Solve for x
    x = 10,634,433,242.82/114,532.76
  6. Step 6: Final answer
    x = 92,850.58

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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.