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Finding the Fourth Proportional to 114,051.46, 171,066.24 and 35,144.50

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Solution

The fourth proportional to 114,051.46, 171,066.24 and 35,144.50 is: 52,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051.46 : 171,066.24 = 35,144.50 : x
  2. Step 2: Convert to fraction form
    114,051.46/171,066.24 = 35,144.50/x
  3. Step 3: Cross multiply
    114,051.46x = 171,066.24 × 35,144.50
  4. Step 4: Simplify right side
    114,051.46x = 6,012,037,471.68
  5. Step 5: Solve for x
    x = 6,012,037,471.68/114,051.46
  6. Step 6: Final answer
    x = 52,713.38

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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.