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Finding the Fourth Proportional to 32,106.09, 48,181.02 and 11,329.59

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Solution

The fourth proportional to 32,106.09, 48,181.02 and 11,329.59 is: 17,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.09 : 48,181.02 = 11,329.59 : x
  2. Step 2: Convert to fraction form
    32,106.09/48,181.02 = 11,329.59/x
  3. Step 3: Cross multiply
    32,106.09x = 48,181.02 × 11,329.59
  4. Step 4: Simplify right side
    32,106.09x = 545,871,340.57
  5. Step 5: Solve for x
    x = 545,871,340.57/32,106.09
  6. Step 6: Final answer
    x = 17,002.11

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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.