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Finding the Fourth Proportional to 31,764.80, 47,647.20 and 24,406.40

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Solution

The fourth proportional to 31,764.80, 47,647.20 and 24,406.40 is: 36,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,764.80 : 47,647.20 = 24,406.40 : x
  2. Step 2: Convert to fraction form
    31,764.80/47,647.20 = 24,406.40/x
  3. Step 3: Cross multiply
    31,764.80x = 47,647.20 × 24,406.40
  4. Step 4: Simplify right side
    31,764.80x = 1,162,896,622.08
  5. Step 5: Solve for x
    x = 1,162,896,622.08/31,764.80
  6. Step 6: Final answer
    x = 36,609.60

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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.