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Finding the Fourth Proportional to 32,683.24, 45,105.12 and 18,537

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Solution

The fourth proportional to 32,683.24, 45,105.12 and 18,537 is: 25,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.24 : 45,105.12 = 18,537 : x
  2. Step 2: Convert to fraction form
    32,683.24/45,105.12 = 18,537/x
  3. Step 3: Cross multiply
    32,683.24x = 45,105.12 × 18,537
  4. Step 4: Simplify right side
    32,683.24x = 836,113,609.44
  5. Step 5: Solve for x
    x = 836,113,609.44/32,683.24
  6. Step 6: Final answer
    x = 25,582.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.