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Finding the Fourth Proportional to 107,441.64, 161,106.84 and 48,226.32

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Solution

The fourth proportional to 107,441.64, 161,106.84 and 48,226.32 is: 72,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,441.64 : 161,106.84 = 48,226.32 : x
  2. Step 2: Convert to fraction form
    107,441.64/161,106.84 = 48,226.32/x
  3. Step 3: Cross multiply
    107,441.64x = 161,106.84 × 48,226.32
  4. Step 4: Simplify right side
    107,441.64x = 7,769,590,020.03
  5. Step 5: Solve for x
    x = 7,769,590,020.03/107,441.64
  6. Step 6: Final answer
    x = 72,314.51

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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.