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Finding the Fourth Proportional to 30,196.50, 45,301.23 and 11,728.50

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Solution

The fourth proportional to 30,196.50, 45,301.23 and 11,728.50 is: 17,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.50 : 45,301.23 = 11,728.50 : x
  2. Step 2: Convert to fraction form
    30,196.50/45,301.23 = 11,728.50/x
  3. Step 3: Cross multiply
    30,196.50x = 45,301.23 × 11,728.50
  4. Step 4: Simplify right side
    30,196.50x = 531,315,476.06
  5. Step 5: Solve for x
    x = 531,315,476.06/30,196.50
  6. Step 6: Final answer
    x = 17,595.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.