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Finding the Fourth Proportional to 32,003.90, 48,005.85 and 16,411.58

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Solution

The fourth proportional to 32,003.90, 48,005.85 and 16,411.58 is: 24,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.90 : 48,005.85 = 16,411.58 : x
  2. Step 2: Convert to fraction form
    32,003.90/48,005.85 = 16,411.58/x
  3. Step 3: Cross multiply
    32,003.90x = 48,005.85 × 16,411.58
  4. Step 4: Simplify right side
    32,003.90x = 787,851,847.74
  5. Step 5: Solve for x
    x = 787,851,847.74/32,003.90
  6. Step 6: Final answer
    x = 24,617.37

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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.