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Finding the Fourth Proportional to 43,411.69, 65,033.28 and 31,992.88

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Solution

The fourth proportional to 43,411.69, 65,033.28 and 31,992.88 is: 47,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,411.69 : 65,033.28 = 31,992.88 : x
  2. Step 2: Convert to fraction form
    43,411.69/65,033.28 = 31,992.88/x
  3. Step 3: Cross multiply
    43,411.69x = 65,033.28 × 31,992.88
  4. Step 4: Simplify right side
    43,411.69x = 2,080,601,437.92
  5. Step 5: Solve for x
    x = 2,080,601,437.92/43,411.69
  6. Step 6: Final answer
    x = 47,927.22

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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.