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Finding the Fourth Proportional to 32,111.81, 48,150.03 and 9,919.07

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Solution

The fourth proportional to 32,111.81, 48,150.03 and 9,919.07 is: 14,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111.81 : 48,150.03 = 9,919.07 : x
  2. Step 2: Convert to fraction form
    32,111.81/48,150.03 = 9,919.07/x
  3. Step 3: Cross multiply
    32,111.81x = 48,150.03 × 9,919.07
  4. Step 4: Simplify right side
    32,111.81x = 477,603,518.07
  5. Step 5: Solve for x
    x = 477,603,518.07/32,111.81
  6. Step 6: Final answer
    x = 14,873.14

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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.