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Finding the Fourth Proportional to 53,455.41, 80,245.24 and 31,284.70

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Solution

The fourth proportional to 53,455.41, 80,245.24 and 31,284.70 is: 46,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,455.41 : 80,245.24 = 31,284.70 : x
  2. Step 2: Convert to fraction form
    53,455.41/80,245.24 = 31,284.70/x
  3. Step 3: Cross multiply
    53,455.41x = 80,245.24 × 31,284.70
  4. Step 4: Simplify right side
    53,455.41x = 2,510,448,281.92
  5. Step 5: Solve for x
    x = 2,510,448,281.92/53,455.41
  6. Step 6: Final answer
    x = 46,963.41

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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.