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Finding the Fourth Proportional to 31,220.42, 46,838.02 and 9,034.32

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Solution

The fourth proportional to 31,220.42, 46,838.02 and 9,034.32 is: 13,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220.42 : 46,838.02 = 9,034.32 : x
  2. Step 2: Convert to fraction form
    31,220.42/46,838.02 = 9,034.32/x
  3. Step 3: Cross multiply
    31,220.42x = 46,838.02 × 9,034.32
  4. Step 4: Simplify right side
    31,220.42x = 423,149,660.85
  5. Step 5: Solve for x
    x = 423,149,660.85/31,220.42
  6. Step 6: Final answer
    x = 13,553.62

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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.