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Finding the Fourth Proportional to 47,706.50, 71,571 and 46,913.12

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Solution

The fourth proportional to 47,706.50, 71,571 and 46,913.12 is: 70,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,706.50 : 71,571 = 46,913.12 : x
  2. Step 2: Convert to fraction form
    47,706.50/71,571 = 46,913.12/x
  3. Step 3: Cross multiply
    47,706.50x = 71,571 × 46,913.12
  4. Step 4: Simplify right side
    47,706.50x = 3,357,618,911.52
  5. Step 5: Solve for x
    x = 3,357,618,911.52/47,706.50
  6. Step 6: Final answer
    x = 70,380.74

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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.