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Finding the Fourth Proportional to 98,667.10, 148,002 and 32,107.58

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Solution

The fourth proportional to 98,667.10, 148,002 and 32,107.58 is: 48,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,667.10 : 148,002 = 32,107.58 : x
  2. Step 2: Convert to fraction form
    98,667.10/148,002 = 32,107.58/x
  3. Step 3: Cross multiply
    98,667.10x = 148,002 × 32,107.58
  4. Step 4: Simplify right side
    98,667.10x = 4,751,986,055.16
  5. Step 5: Solve for x
    x = 4,751,986,055.16/98,667.10
  6. Step 6: Final answer
    x = 48,161.81

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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.