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Finding the Fourth Proportional to 32,701.14, 49,059 and 9,327.78

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Solution

The fourth proportional to 32,701.14, 49,059 and 9,327.78 is: 13,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,701.14 : 49,059 = 9,327.78 : x
  2. Step 2: Convert to fraction form
    32,701.14/49,059 = 9,327.78/x
  3. Step 3: Cross multiply
    32,701.14x = 49,059 × 9,327.78
  4. Step 4: Simplify right side
    32,701.14x = 457,611,559.02
  5. Step 5: Solve for x
    x = 457,611,559.02/32,701.14
  6. Step 6: Final answer
    x = 13,993.75

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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.