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Finding the Fourth Proportional to 43,802.93, 65,725.16 and 22,731.77

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Solution

The fourth proportional to 43,802.93, 65,725.16 and 22,731.77 is: 34,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,802.93 : 65,725.16 = 22,731.77 : x
  2. Step 2: Convert to fraction form
    43,802.93/65,725.16 = 22,731.77/x
  3. Step 3: Cross multiply
    43,802.93x = 65,725.16 × 22,731.77
  4. Step 4: Simplify right side
    43,802.93x = 1,494,049,270.99
  5. Step 5: Solve for x
    x = 1,494,049,270.99/43,802.93
  6. Step 6: Final answer
    x = 34,108.43

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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.