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Finding the Fourth Proportional to 30,094.89, 45,137.21 and 9,029.22

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Solution

The fourth proportional to 30,094.89, 45,137.21 and 9,029.22 is: 13,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,094.89 : 45,137.21 = 9,029.22 : x
  2. Step 2: Convert to fraction form
    30,094.89/45,137.21 = 9,029.22/x
  3. Step 3: Cross multiply
    30,094.89x = 45,137.21 × 9,029.22
  4. Step 4: Simplify right side
    30,094.89x = 407,553,754.13
  5. Step 5: Solve for x
    x = 407,553,754.13/30,094.89
  6. Step 6: Final answer
    x = 13,542.29

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