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Finding the Fourth Proportional to 29,681.25, 40,960.14 and 16,433.25

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Solution

The fourth proportional to 29,681.25, 40,960.14 and 16,433.25 is: 22,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,681.25 : 40,960.14 = 16,433.25 : x
  2. Step 2: Convert to fraction form
    29,681.25/40,960.14 = 16,433.25/x
  3. Step 3: Cross multiply
    29,681.25x = 40,960.14 × 16,433.25
  4. Step 4: Simplify right side
    29,681.25x = 673,108,220.66
  5. Step 5: Solve for x
    x = 673,108,220.66/29,681.25
  6. Step 6: Final answer
    x = 22,677.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.