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Finding the Fourth Proportional to 32,002.64, 48,003.80 and 16,411.60

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Solution

The fourth proportional to 32,002.64, 48,003.80 and 16,411.60 is: 24,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.64 : 48,003.80 = 16,411.60 : x
  2. Step 2: Convert to fraction form
    32,002.64/48,003.80 = 16,411.60/x
  3. Step 3: Cross multiply
    32,002.64x = 48,003.80 × 16,411.60
  4. Step 4: Simplify right side
    32,002.64x = 787,819,164.08
  5. Step 5: Solve for x
    x = 787,819,164.08/32,002.64
  6. Step 6: Final answer
    x = 24,617.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.