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Finding the Fourth Proportional to 31,935.66, 47,903.49 and 9,749.15

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Solution

The fourth proportional to 31,935.66, 47,903.49 and 9,749.15 is: 14,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,935.66 : 47,903.49 = 9,749.15 : x
  2. Step 2: Convert to fraction form
    31,935.66/47,903.49 = 9,749.15/x
  3. Step 3: Cross multiply
    31,935.66x = 47,903.49 × 9,749.15
  4. Step 4: Simplify right side
    31,935.66x = 467,018,309.53
  5. Step 5: Solve for x
    x = 467,018,309.53/31,935.66
  6. Step 6: Final answer
    x = 14,623.73

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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.