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Finding the Fourth Proportional to 31,503.89, 47,265.07 and 9,317.86

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Solution

The fourth proportional to 31,503.89, 47,265.07 and 9,317.86 is: 13,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.89 : 47,265.07 = 9,317.86 : x
  2. Step 2: Convert to fraction form
    31,503.89/47,265.07 = 9,317.86/x
  3. Step 3: Cross multiply
    31,503.89x = 47,265.07 × 9,317.86
  4. Step 4: Simplify right side
    31,503.89x = 440,409,305.15
  5. Step 5: Solve for x
    x = 440,409,305.15/31,503.89
  6. Step 6: Final answer
    x = 13,979.52

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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.