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Finding the Fourth Proportional to 31,490.64, 47,246.76 and 10,728.72

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Solution

The fourth proportional to 31,490.64, 47,246.76 and 10,728.72 is: 16,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490.64 : 47,246.76 = 10,728.72 : x
  2. Step 2: Convert to fraction form
    31,490.64/47,246.76 = 10,728.72/x
  3. Step 3: Cross multiply
    31,490.64x = 47,246.76 × 10,728.72
  4. Step 4: Simplify right side
    31,490.64x = 506,897,258.95
  5. Step 5: Solve for x
    x = 506,897,258.95/31,490.64
  6. Step 6: Final answer
    x = 16,096.76

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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.