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Finding the Fourth Proportional to 31,551.50, 47,313.39 and 11,816.22

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Solution

The fourth proportional to 31,551.50, 47,313.39 and 11,816.22 is: 17,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551.50 : 47,313.39 = 11,816.22 : x
  2. Step 2: Convert to fraction form
    31,551.50/47,313.39 = 11,816.22/x
  3. Step 3: Cross multiply
    31,551.50x = 47,313.39 × 11,816.22
  4. Step 4: Simplify right side
    31,551.50x = 559,065,425.19
  5. Step 5: Solve for x
    x = 559,065,425.19/31,551.50
  6. Step 6: Final answer
    x = 17,719.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.