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Finding the Fourth Proportional to 31,499.53, 47,258.52 and 9,313.48

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Solution

The fourth proportional to 31,499.53, 47,258.52 and 9,313.48 is: 13,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,499.53 : 47,258.52 = 9,313.48 : x
  2. Step 2: Convert to fraction form
    31,499.53/47,258.52 = 9,313.48/x
  3. Step 3: Cross multiply
    31,499.53x = 47,258.52 × 9,313.48
  4. Step 4: Simplify right side
    31,499.53x = 440,141,281.94
  5. Step 5: Solve for x
    x = 440,141,281.94/31,499.53
  6. Step 6: Final answer
    x = 13,972.95

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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.