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Finding the Fourth Proportional to 31,226.87, 46,839.87 and 7,534.22

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Solution

The fourth proportional to 31,226.87, 46,839.87 and 7,534.22 is: 11,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,226.87 : 46,839.87 = 7,534.22 : x
  2. Step 2: Convert to fraction form
    31,226.87/46,839.87 = 7,534.22/x
  3. Step 3: Cross multiply
    31,226.87x = 46,839.87 × 7,534.22
  4. Step 4: Simplify right side
    31,226.87x = 352,901,619.37
  5. Step 5: Solve for x
    x = 352,901,619.37/31,226.87
  6. Step 6: Final answer
    x = 11,301.22

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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.