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Finding the Fourth Proportional to 30,291.22, 45,438.64 and 9,514.72

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Solution

The fourth proportional to 30,291.22, 45,438.64 and 9,514.72 is: 14,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.22 : 45,438.64 = 9,514.72 : x
  2. Step 2: Convert to fraction form
    30,291.22/45,438.64 = 9,514.72/x
  3. Step 3: Cross multiply
    30,291.22x = 45,438.64 × 9,514.72
  4. Step 4: Simplify right side
    30,291.22x = 432,335,936.78
  5. Step 5: Solve for x
    x = 432,335,936.78/30,291.22
  6. Step 6: Final answer
    x = 14,272.65

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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.