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Finding the Fourth Proportional to 30,291.10, 45,443.84 and 9,514.60

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Solution

The fourth proportional to 30,291.10, 45,443.84 and 9,514.60 is: 14,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.10 : 45,443.84 = 9,514.60 : x
  2. Step 2: Convert to fraction form
    30,291.10/45,443.84 = 9,514.60/x
  3. Step 3: Cross multiply
    30,291.10x = 45,443.84 × 9,514.60
  4. Step 4: Simplify right side
    30,291.10x = 432,379,798.88
  5. Step 5: Solve for x
    x = 432,379,798.88/30,291.10
  6. Step 6: Final answer
    x = 14,274.15

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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.