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Finding the Fourth Proportional to 47,364.80, 70,982.40 and 31,524.80

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Solution

The fourth proportional to 47,364.80, 70,982.40 and 31,524.80 is: 47,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364.80 : 70,982.40 = 31,524.80 : x
  2. Step 2: Convert to fraction form
    47,364.80/70,982.40 = 31,524.80/x
  3. Step 3: Cross multiply
    47,364.80x = 70,982.40 × 31,524.80
  4. Step 4: Simplify right side
    47,364.80x = 2,237,705,963.52
  5. Step 5: Solve for x
    x = 2,237,705,963.52/47,364.80
  6. Step 6: Final answer
    x = 47,244.07

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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.