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Finding the Fourth Proportional to 31,336.41, 46,999.58 and 9,144.59

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Solution

The fourth proportional to 31,336.41, 46,999.58 and 9,144.59 is: 13,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,336.41 : 46,999.58 = 9,144.59 : x
  2. Step 2: Convert to fraction form
    31,336.41/46,999.58 = 9,144.59/x
  3. Step 3: Cross multiply
    31,336.41x = 46,999.58 × 9,144.59
  4. Step 4: Simplify right side
    31,336.41x = 429,791,889.27
  5. Step 5: Solve for x
    x = 429,791,889.27/31,336.41
  6. Step 6: Final answer
    x = 13,715.42

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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.