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Finding the Fourth Proportional to 31,409.50, 47,113.86 and 9,222.08

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Solution

The fourth proportional to 31,409.50, 47,113.86 and 9,222.08 is: 13,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.50 : 47,113.86 = 9,222.08 : x
  2. Step 2: Convert to fraction form
    31,409.50/47,113.86 = 9,222.08/x
  3. Step 3: Cross multiply
    31,409.50x = 47,113.86 × 9,222.08
  4. Step 4: Simplify right side
    31,409.50x = 434,487,786.03
  5. Step 5: Solve for x
    x = 434,487,786.03/31,409.50
  6. Step 6: Final answer
    x = 13,833.01

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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.