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Finding the Fourth Proportional to 70,184.88, 105,268.68 and 30,734.64

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Solution

The fourth proportional to 70,184.88, 105,268.68 and 30,734.64 is: 46,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,184.88 : 105,268.68 = 30,734.64 : x
  2. Step 2: Convert to fraction form
    70,184.88/105,268.68 = 30,734.64/x
  3. Step 3: Cross multiply
    70,184.88x = 105,268.68 × 30,734.64
  4. Step 4: Simplify right side
    70,184.88x = 3,235,394,983.08
  5. Step 5: Solve for x
    x = 3,235,394,983.08/70,184.88
  6. Step 6: Final answer
    x = 46,098.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.