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Finding the Fourth Proportional to 31,233.28, 46,856.76 and 9,047.56

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Solution

The fourth proportional to 31,233.28, 46,856.76 and 9,047.56 is: 13,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,233.28 : 46,856.76 = 9,047.56 : x
  2. Step 2: Convert to fraction form
    31,233.28/46,856.76 = 9,047.56/x
  3. Step 3: Cross multiply
    31,233.28x = 46,856.76 × 9,047.56
  4. Step 4: Simplify right side
    31,233.28x = 423,939,347.51
  5. Step 5: Solve for x
    x = 423,939,347.51/31,233.28
  6. Step 6: Final answer
    x = 13,573.32

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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.