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Finding the Fourth Proportional to 31,296.64, 46,943.20 and 7,921.60

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Solution

The fourth proportional to 31,296.64, 46,943.20 and 7,921.60 is: 11,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296.64 : 46,943.20 = 7,921.60 : x
  2. Step 2: Convert to fraction form
    31,296.64/46,943.20 = 7,921.60/x
  3. Step 3: Cross multiply
    31,296.64x = 46,943.20 × 7,921.60
  4. Step 4: Simplify right side
    31,296.64x = 371,865,253.12
  5. Step 5: Solve for x
    x = 371,865,253.12/31,296.64
  6. Step 6: Final answer
    x = 11,881.95

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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.