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Finding the Fourth Proportional to 32,002.40, 47,963.10 and 12,254.60

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Solution

The fourth proportional to 32,002.40, 47,963.10 and 12,254.60 is: 18,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.40 : 47,963.10 = 12,254.60 : x
  2. Step 2: Convert to fraction form
    32,002.40/47,963.10 = 12,254.60/x
  3. Step 3: Cross multiply
    32,002.40x = 47,963.10 × 12,254.60
  4. Step 4: Simplify right side
    32,002.40x = 587,768,605.26
  5. Step 5: Solve for x
    x = 587,768,605.26/32,002.40
  6. Step 6: Final answer
    x = 18,366.39

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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.