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Finding the Fourth Proportional to 31,216.50, 46,810.86 and 9,024.60

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Solution

The fourth proportional to 31,216.50, 46,810.86 and 9,024.60 is: 13,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.50 : 46,810.86 = 9,024.60 : x
  2. Step 2: Convert to fraction form
    31,216.50/46,810.86 = 9,024.60/x
  3. Step 3: Cross multiply
    31,216.50x = 46,810.86 × 9,024.60
  4. Step 4: Simplify right side
    31,216.50x = 422,449,287.16
  5. Step 5: Solve for x
    x = 422,449,287.16/31,216.50
  6. Step 6: Final answer
    x = 13,532.88

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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.