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Finding the Fourth Proportional to 31,891.77, 44,008.79 and 17,549.16

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Solution

The fourth proportional to 31,891.77, 44,008.79 and 17,549.16 is: 24,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.77 : 44,008.79 = 17,549.16 : x
  2. Step 2: Convert to fraction form
    31,891.77/44,008.79 = 17,549.16/x
  3. Step 3: Cross multiply
    31,891.77x = 44,008.79 × 17,549.16
  4. Step 4: Simplify right side
    31,891.77x = 772,317,297.12
  5. Step 5: Solve for x
    x = 772,317,297.12/31,891.77
  6. Step 6: Final answer
    x = 24,216.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.