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Finding the Fourth Proportional to 30,207, 41,685.66 and 17,629.32

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Solution

The fourth proportional to 30,207, 41,685.66 and 17,629.32 is: 24,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207 : 41,685.66 = 17,629.32 : x
  2. Step 2: Convert to fraction form
    30,207/41,685.66 = 17,629.32/x
  3. Step 3: Cross multiply
    30,207x = 41,685.66 × 17,629.32
  4. Step 4: Simplify right side
    30,207x = 734,889,839.55
  5. Step 5: Solve for x
    x = 734,889,839.55/30,207
  6. Step 6: Final answer
    x = 24,328.46

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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.