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Finding the Fourth Proportional to 31,841.64, 47,762.40 and 8,468.07

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Solution

The fourth proportional to 31,841.64, 47,762.40 and 8,468.07 is: 12,702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.64 : 47,762.40 = 8,468.07 : x
  2. Step 2: Convert to fraction form
    31,841.64/47,762.40 = 8,468.07/x
  3. Step 3: Cross multiply
    31,841.64x = 47,762.40 × 8,468.07
  4. Step 4: Simplify right side
    31,841.64x = 404,455,346.57
  5. Step 5: Solve for x
    x = 404,455,346.57/31,841.64
  6. Step 6: Final answer
    x = 12,702.09

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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.