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Finding the Fourth Proportional to 32,698.62, 45,137.66 and 22,102.60

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Solution

The fourth proportional to 32,698.62, 45,137.66 and 22,102.60 is: 30,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698.62 : 45,137.66 = 22,102.60 : x
  2. Step 2: Convert to fraction form
    32,698.62/45,137.66 = 22,102.60/x
  3. Step 3: Cross multiply
    32,698.62x = 45,137.66 × 22,102.60
  4. Step 4: Simplify right side
    32,698.62x = 997,659,643.92
  5. Step 5: Solve for x
    x = 997,659,643.92/32,698.62
  6. Step 6: Final answer
    x = 30,510.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.