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Finding the Fourth Proportional to 32,198.13, 48,303.14 and 10,010.07

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Solution

The fourth proportional to 32,198.13, 48,303.14 and 10,010.07 is: 15,016.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.13 : 48,303.14 = 10,010.07 : x
  2. Step 2: Convert to fraction form
    32,198.13/48,303.14 = 10,010.07/x
  3. Step 3: Cross multiply
    32,198.13x = 48,303.14 × 10,010.07
  4. Step 4: Simplify right side
    32,198.13x = 483,517,762.57
  5. Step 5: Solve for x
    x = 483,517,762.57/32,198.13
  6. Step 6: Final answer
    x = 15,016.95

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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.