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Finding the Fourth Proportional to 29,635, 40,895.76 and 17,701

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Solution

The fourth proportional to 29,635, 40,895.76 and 17,701 is: 24,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,635 : 40,895.76 = 17,701 : x
  2. Step 2: Convert to fraction form
    29,635/40,895.76 = 17,701/x
  3. Step 3: Cross multiply
    29,635x = 40,895.76 × 17,701
  4. Step 4: Simplify right side
    29,635x = 723,895,847.76
  5. Step 5: Solve for x
    x = 723,895,847.76/29,635
  6. Step 6: Final answer
    x = 24,427.06

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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.