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Finding the Fourth Proportional to 31,764.88, 47,643.68 and 8,393.16

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Solution

The fourth proportional to 31,764.88, 47,643.68 and 8,393.16 is: 12,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,764.88 : 47,643.68 = 8,393.16 : x
  2. Step 2: Convert to fraction form
    31,764.88/47,643.68 = 8,393.16/x
  3. Step 3: Cross multiply
    31,764.88x = 47,643.68 × 8,393.16
  4. Step 4: Simplify right side
    31,764.88x = 399,881,029.23
  5. Step 5: Solve for x
    x = 399,881,029.23/31,764.88
  6. Step 6: Final answer
    x = 12,588.78

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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.