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Finding the Fourth Proportional to 30,553.84, 45,837.36 and 9,493.48

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Solution

The fourth proportional to 30,553.84, 45,837.36 and 9,493.48 is: 14,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,553.84 : 45,837.36 = 9,493.48 : x
  2. Step 2: Convert to fraction form
    30,553.84/45,837.36 = 9,493.48/x
  3. Step 3: Cross multiply
    30,553.84x = 45,837.36 × 9,493.48
  4. Step 4: Simplify right side
    30,553.84x = 435,156,060.41
  5. Step 5: Solve for x
    x = 435,156,060.41/30,553.84
  6. Step 6: Final answer
    x = 14,242.27

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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.