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Finding the Fourth Proportional to 31,963.01, 47,944.50 and 9,776.39

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Solution

The fourth proportional to 31,963.01, 47,944.50 and 9,776.39 is: 14,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.01 : 47,944.50 = 9,776.39 : x
  2. Step 2: Convert to fraction form
    31,963.01/47,944.50 = 9,776.39/x
  3. Step 3: Cross multiply
    31,963.01x = 47,944.50 × 9,776.39
  4. Step 4: Simplify right side
    31,963.01x = 468,724,130.36
  5. Step 5: Solve for x
    x = 468,724,130.36/31,963.01
  6. Step 6: Final answer
    x = 14,664.58

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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.