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Finding the Fourth Proportional to 31,224, 46,835.04 and 9,037.92

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Solution

The fourth proportional to 31,224, 46,835.04 and 9,037.92 is: 13,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224 : 46,835.04 = 9,037.92 : x
  2. Step 2: Convert to fraction form
    31,224/46,835.04 = 9,037.92/x
  3. Step 3: Cross multiply
    31,224x = 46,835.04 × 9,037.92
  4. Step 4: Simplify right side
    31,224x = 423,291,344.72
  5. Step 5: Solve for x
    x = 423,291,344.72/31,224
  6. Step 6: Final answer
    x = 13,556.60

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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.