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Finding the Fourth Proportional to 30,089.64, 45,129.33 and 9,023.97

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Solution

The fourth proportional to 30,089.64, 45,129.33 and 9,023.97 is: 13,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,089.64 : 45,129.33 = 9,023.97 : x
  2. Step 2: Convert to fraction form
    30,089.64/45,129.33 = 9,023.97/x
  3. Step 3: Cross multiply
    30,089.64x = 45,129.33 × 9,023.97
  4. Step 4: Simplify right side
    30,089.64x = 407,245,720.04
  5. Step 5: Solve for x
    x = 407,245,720.04/30,089.64
  6. Step 6: Final answer
    x = 13,534.42

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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.