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Finding the Fourth Proportional to 30,395.32, 41,952.54 and 17,824.12

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Solution

The fourth proportional to 30,395.32, 41,952.54 and 17,824.12 is: 24,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,395.32 : 41,952.54 = 17,824.12 : x
  2. Step 2: Convert to fraction form
    30,395.32/41,952.54 = 17,824.12/x
  3. Step 3: Cross multiply
    30,395.32x = 41,952.54 × 17,824.12
  4. Step 4: Simplify right side
    30,395.32x = 747,767,107.26
  5. Step 5: Solve for x
    x = 747,767,107.26/30,395.32
  6. Step 6: Final answer
    x = 24,601.39

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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.