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Finding the Fourth Proportional to 30,078.72, 45,122.40 and 9,297.36

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Solution

The fourth proportional to 30,078.72, 45,122.40 and 9,297.36 is: 13,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.72 : 45,122.40 = 9,297.36 : x
  2. Step 2: Convert to fraction form
    30,078.72/45,122.40 = 9,297.36/x
  3. Step 3: Cross multiply
    30,078.72x = 45,122.40 × 9,297.36
  4. Step 4: Simplify right side
    30,078.72x = 419,519,196.86
  5. Step 5: Solve for x
    x = 419,519,196.86/30,078.72
  6. Step 6: Final answer
    x = 13,947.38

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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.