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Finding the Fourth Proportional to 31,459.64, 47,190.06 and 8,085.47

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Solution

The fourth proportional to 31,459.64, 47,190.06 and 8,085.47 is: 12,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.64 : 47,190.06 = 8,085.47 : x
  2. Step 2: Convert to fraction form
    31,459.64/47,190.06 = 8,085.47/x
  3. Step 3: Cross multiply
    31,459.64x = 47,190.06 × 8,085.47
  4. Step 4: Simplify right side
    31,459.64x = 381,553,578.48
  5. Step 5: Solve for x
    x = 381,553,578.48/31,459.64
  6. Step 6: Final answer
    x = 12,128.35

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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.