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Finding the Fourth Proportional to 31,548.40, 47,282.40 and 16,764.40

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Solution

The fourth proportional to 31,548.40, 47,282.40 and 16,764.40 is: 25,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.40 : 47,282.40 = 16,764.40 : x
  2. Step 2: Convert to fraction form
    31,548.40/47,282.40 = 16,764.40/x
  3. Step 3: Cross multiply
    31,548.40x = 47,282.40 × 16,764.40
  4. Step 4: Simplify right side
    31,548.40x = 792,661,066.56
  5. Step 5: Solve for x
    x = 792,661,066.56/31,548.40
  6. Step 6: Final answer
    x = 25,125.24

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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.