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Finding the Fourth Proportional to 30,244.80, 45,302.40 and 19,747.20

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Solution

The fourth proportional to 30,244.80, 45,302.40 and 19,747.20 is: 29,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,244.80 : 45,302.40 = 19,747.20 : x
  2. Step 2: Convert to fraction form
    30,244.80/45,302.40 = 19,747.20/x
  3. Step 3: Cross multiply
    30,244.80x = 45,302.40 × 19,747.20
  4. Step 4: Simplify right side
    30,244.80x = 894,595,553.28
  5. Step 5: Solve for x
    x = 894,595,553.28/30,244.80
  6. Step 6: Final answer
    x = 29,578.49

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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.