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Finding the Fourth Proportional to 31,463.42, 47,203.31 and 11,742.13

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Solution

The fourth proportional to 31,463.42, 47,203.31 and 11,742.13 is: 17,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463.42 : 47,203.31 = 11,742.13 : x
  2. Step 2: Convert to fraction form
    31,463.42/47,203.31 = 11,742.13/x
  3. Step 3: Cross multiply
    31,463.42x = 47,203.31 × 11,742.13
  4. Step 4: Simplify right side
    31,463.42x = 554,267,107.72
  5. Step 5: Solve for x
    x = 554,267,107.72/31,463.42
  6. Step 6: Final answer
    x = 17,616.24

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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.