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Finding the Fourth Proportional to 31,728.60, 47,559.40 and 10,648.66

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Solution

The fourth proportional to 31,728.60, 47,559.40 and 10,648.66 is: 15,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.60 : 47,559.40 = 10,648.66 : x
  2. Step 2: Convert to fraction form
    31,728.60/47,559.40 = 10,648.66/x
  3. Step 3: Cross multiply
    31,728.60x = 47,559.40 × 10,648.66
  4. Step 4: Simplify right side
    31,728.60x = 506,443,880.40
  5. Step 5: Solve for x
    x = 506,443,880.40/31,728.60
  6. Step 6: Final answer
    x = 15,961.75

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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.