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Finding the Fourth Proportional to 30,090.43, 45,141.86 and 9,029.62

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Solution

The fourth proportional to 30,090.43, 45,141.86 and 9,029.62 is: 13,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,090.43 : 45,141.86 = 9,029.62 : x
  2. Step 2: Convert to fraction form
    30,090.43/45,141.86 = 9,029.62/x
  3. Step 3: Cross multiply
    30,090.43x = 45,141.86 × 9,029.62
  4. Step 4: Simplify right side
    30,090.43x = 407,613,841.89
  5. Step 5: Solve for x
    x = 407,613,841.89/30,090.43
  6. Step 6: Final answer
    x = 13,546.30

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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.