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Finding the Fourth Proportional to 30,045.57, 45,067.84 and 12,272.31

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Solution

The fourth proportional to 30,045.57, 45,067.84 and 12,272.31 is: 18,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.57 : 45,067.84 = 12,272.31 : x
  2. Step 2: Convert to fraction form
    30,045.57/45,067.84 = 12,272.31/x
  3. Step 3: Cross multiply
    30,045.57x = 45,067.84 × 12,272.31
  4. Step 4: Simplify right side
    30,045.57x = 553,086,503.51
  5. Step 5: Solve for x
    x = 553,086,503.51/30,045.57
  6. Step 6: Final answer
    x = 18,408.25

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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.