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Finding the Fourth Proportional to 31,852.92, 47,655.84 and 22,988.64

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Solution

The fourth proportional to 31,852.92, 47,655.84 and 22,988.64 is: 34,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.92 : 47,655.84 = 22,988.64 : x
  2. Step 2: Convert to fraction form
    31,852.92/47,655.84 = 22,988.64/x
  3. Step 3: Cross multiply
    31,852.92x = 47,655.84 × 22,988.64
  4. Step 4: Simplify right side
    31,852.92x = 1,095,542,949.66
  5. Step 5: Solve for x
    x = 1,095,542,949.66/31,852.92
  6. Step 6: Final answer
    x = 34,393.80

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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.