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Finding the Fourth Proportional to 31,551.30, 47,313.08 and 11,816.01

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Solution

The fourth proportional to 31,551.30, 47,313.08 and 11,816.01 is: 17,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551.30 : 47,313.08 = 11,816.01 : x
  2. Step 2: Convert to fraction form
    31,551.30/47,313.08 = 11,816.01/x
  3. Step 3: Cross multiply
    31,551.30x = 47,313.08 × 11,816.01
  4. Step 4: Simplify right side
    31,551.30x = 559,051,826.41
  5. Step 5: Solve for x
    x = 559,051,826.41/31,551.30
  6. Step 6: Final answer
    x = 17,718.82

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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.