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Finding the Fourth Proportional to 29,681.84, 40,964.56 and 17,745.04

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Solution

The fourth proportional to 29,681.84, 40,964.56 and 17,745.04 is: 24,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,681.84 : 40,964.56 = 17,745.04 : x
  2. Step 2: Convert to fraction form
    29,681.84/40,964.56 = 17,745.04/x
  3. Step 3: Cross multiply
    29,681.84x = 40,964.56 × 17,745.04
  4. Step 4: Simplify right side
    29,681.84x = 726,917,755.78
  5. Step 5: Solve for x
    x = 726,917,755.78/29,681.84
  6. Step 6: Final answer
    x = 24,490.32

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1.5x scale

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.