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Finding the Fourth Proportional to 31,953.96, 47,933.82 and 8,580.24

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Solution

The fourth proportional to 31,953.96, 47,933.82 and 8,580.24 is: 12,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.96 : 47,933.82 = 8,580.24 : x
  2. Step 2: Convert to fraction form
    31,953.96/47,933.82 = 8,580.24/x
  3. Step 3: Cross multiply
    31,953.96x = 47,933.82 × 8,580.24
  4. Step 4: Simplify right side
    31,953.96x = 411,283,679.72
  5. Step 5: Solve for x
    x = 411,283,679.72/31,953.96
  6. Step 6: Final answer
    x = 12,871.13

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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.