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Finding the Fourth Proportional to 47,946, 71,951.81 and 24,588.84

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Solution

The fourth proportional to 47,946, 71,951.81 and 24,588.84 is: 36,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,946 : 71,951.81 = 24,588.84 : x
  2. Step 2: Convert to fraction form
    47,946/71,951.81 = 24,588.84/x
  3. Step 3: Cross multiply
    47,946x = 71,951.81 × 24,588.84
  4. Step 4: Simplify right side
    47,946x = 1,769,211,543.80
  5. Step 5: Solve for x
    x = 1,769,211,543.80/47,946
  6. Step 6: Final answer
    x = 36,900.09

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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.