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Finding the Fourth Proportional to 31,656.87, 47,461.72 and 10,584.44

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Solution

The fourth proportional to 31,656.87, 47,461.72 and 10,584.44 is: 15,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.87 : 47,461.72 = 10,584.44 : x
  2. Step 2: Convert to fraction form
    31,656.87/47,461.72 = 10,584.44/x
  3. Step 3: Cross multiply
    31,656.87x = 47,461.72 × 10,584.44
  4. Step 4: Simplify right side
    31,656.87x = 502,355,727.64
  5. Step 5: Solve for x
    x = 502,355,727.64/31,656.87
  6. Step 6: Final answer
    x = 15,868.77

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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.