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Finding the Fourth Proportional to 30,102.96, 45,162.21 and 9,042.15

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Solution

The fourth proportional to 30,102.96, 45,162.21 and 9,042.15 is: 13,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.96 : 45,162.21 = 9,042.15 : x
  2. Step 2: Convert to fraction form
    30,102.96/45,162.21 = 9,042.15/x
  3. Step 3: Cross multiply
    30,102.96x = 45,162.21 × 9,042.15
  4. Step 4: Simplify right side
    30,102.96x = 408,363,477.15
  5. Step 5: Solve for x
    x = 408,363,477.15/30,102.96
  6. Step 6: Final answer
    x = 13,565.56

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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.