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Finding the Fourth Proportional to 31,907.59, 47,861.38 and 8,533.42

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Solution

The fourth proportional to 31,907.59, 47,861.38 and 8,533.42 is: 12,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.59 : 47,861.38 = 8,533.42 : x
  2. Step 2: Convert to fraction form
    31,907.59/47,861.38 = 8,533.42/x
  3. Step 3: Cross multiply
    31,907.59x = 47,861.38 × 8,533.42
  4. Step 4: Simplify right side
    31,907.59x = 408,421,355.64
  5. Step 5: Solve for x
    x = 408,421,355.64/31,907.59
  6. Step 6: Final answer
    x = 12,800.13

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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.