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Finding the Fourth Proportional to 29,645.97, 40,926.38 and 22,916.40

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Solution

The fourth proportional to 29,645.97, 40,926.38 and 22,916.40 is: 31,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,645.97 : 40,926.38 = 22,916.40 : x
  2. Step 2: Convert to fraction form
    29,645.97/40,926.38 = 22,916.40/x
  3. Step 3: Cross multiply
    29,645.97x = 40,926.38 × 22,916.40
  4. Step 4: Simplify right side
    29,645.97x = 937,885,180.05
  5. Step 5: Solve for x
    x = 937,885,180.05/29,645.97
  6. Step 6: Final answer
    x = 31,636.18

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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.