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Finding the Fourth Proportional to 31,523.63, 47,287.73 and 9,033.98

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Solution

The fourth proportional to 31,523.63, 47,287.73 and 9,033.98 is: 13,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.63 : 47,287.73 = 9,033.98 : x
  2. Step 2: Convert to fraction form
    31,523.63/47,287.73 = 9,033.98/x
  3. Step 3: Cross multiply
    31,523.63x = 47,287.73 × 9,033.98
  4. Step 4: Simplify right side
    31,523.63x = 427,196,193.21
  5. Step 5: Solve for x
    x = 427,196,193.21/31,523.63
  6. Step 6: Final answer
    x = 13,551.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.