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Finding the Fourth Proportional to 30,102.08, 45,160.44 and 9,042.08

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Solution

The fourth proportional to 30,102.08, 45,160.44 and 9,042.08 is: 13,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.08 : 45,160.44 = 9,042.08 : x
  2. Step 2: Convert to fraction form
    30,102.08/45,160.44 = 9,042.08/x
  3. Step 3: Cross multiply
    30,102.08x = 45,160.44 × 9,042.08
  4. Step 4: Simplify right side
    30,102.08x = 408,344,311.32
  5. Step 5: Solve for x
    x = 408,344,311.32/30,102.08
  6. Step 6: Final answer
    x = 13,565.32

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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.