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Finding the Fourth Proportional to 32,198.60, 48,300.98 and 10,006.02

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Solution

The fourth proportional to 32,198.60, 48,300.98 and 10,006.02 is: 15,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.60 : 48,300.98 = 10,006.02 : x
  2. Step 2: Convert to fraction form
    32,198.60/48,300.98 = 10,006.02/x
  3. Step 3: Cross multiply
    32,198.60x = 48,300.98 × 10,006.02
  4. Step 4: Simplify right side
    32,198.60x = 483,300,521.87
  5. Step 5: Solve for x
    x = 483,300,521.87/32,198.60
  6. Step 6: Final answer
    x = 15,009.99

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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.