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Finding the Fourth Proportional to 31,754.04, 47,632.04 and 9,567.56

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Solution

The fourth proportional to 31,754.04, 47,632.04 and 9,567.56 is: 14,351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754.04 : 47,632.04 = 9,567.56 : x
  2. Step 2: Convert to fraction form
    31,754.04/47,632.04 = 9,567.56/x
  3. Step 3: Cross multiply
    31,754.04x = 47,632.04 × 9,567.56
  4. Step 4: Simplify right side
    31,754.04x = 455,722,400.62
  5. Step 5: Solve for x
    x = 455,722,400.62/31,754.04
  6. Step 6: Final answer
    x = 14,351.64

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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.