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Finding the Fourth Proportional to 32,117.66, 48,143.37 and 13,408.58

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Solution

The fourth proportional to 32,117.66, 48,143.37 and 13,408.58 is: 20,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.66 : 48,143.37 = 13,408.58 : x
  2. Step 2: Convert to fraction form
    32,117.66/48,143.37 = 13,408.58/x
  3. Step 3: Cross multiply
    32,117.66x = 48,143.37 × 13,408.58
  4. Step 4: Simplify right side
    32,117.66x = 645,533,987.40
  5. Step 5: Solve for x
    x = 645,533,987.40/32,117.66
  6. Step 6: Final answer
    x = 20,099.04

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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.