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Finding the Fourth Proportional to 32,189.81, 48,272.83 and 11,124.47

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Solution

The fourth proportional to 32,189.81, 48,272.83 and 11,124.47 is: 16,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.81 : 48,272.83 = 11,124.47 : x
  2. Step 2: Convert to fraction form
    32,189.81/48,272.83 = 11,124.47/x
  3. Step 3: Cross multiply
    32,189.81x = 48,272.83 × 11,124.47
  4. Step 4: Simplify right side
    32,189.81x = 537,009,742.02
  5. Step 5: Solve for x
    x = 537,009,742.02/32,189.81
  6. Step 6: Final answer
    x = 16,682.60

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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.