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Finding the Fourth Proportional to 31,971.51, 47,953.62 and 8,596.13

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Solution

The fourth proportional to 31,971.51, 47,953.62 and 8,596.13 is: 12,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,971.51 : 47,953.62 = 8,596.13 : x
  2. Step 2: Convert to fraction form
    31,971.51/47,953.62 = 8,596.13/x
  3. Step 3: Cross multiply
    31,971.51x = 47,953.62 × 8,596.13
  4. Step 4: Simplify right side
    31,971.51x = 412,215,311.72
  5. Step 5: Solve for x
    x = 412,215,311.72/31,971.51
  6. Step 6: Final answer
    x = 12,893.21

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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.