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Finding the Fourth Proportional to 32,001.64, 48,002.30 and 16,410.60

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Solution

The fourth proportional to 32,001.64, 48,002.30 and 16,410.60 is: 24,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.64 : 48,002.30 = 16,410.60 : x
  2. Step 2: Convert to fraction form
    32,001.64/48,002.30 = 16,410.60/x
  3. Step 3: Cross multiply
    32,001.64x = 48,002.30 × 16,410.60
  4. Step 4: Simplify right side
    32,001.64x = 787,746,544.38
  5. Step 5: Solve for x
    x = 787,746,544.38/32,001.64
  6. Step 6: Final answer
    x = 24,615.82

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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.