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Finding the Fourth Proportional to 30,291.13, 45,444.05 and 9,514.63

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Solution

The fourth proportional to 30,291.13, 45,444.05 and 9,514.63 is: 14,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.13 : 45,444.05 = 9,514.63 : x
  2. Step 2: Convert to fraction form
    30,291.13/45,444.05 = 9,514.63/x
  3. Step 3: Cross multiply
    30,291.13x = 45,444.05 × 9,514.63
  4. Step 4: Simplify right side
    30,291.13x = 432,383,046.66
  5. Step 5: Solve for x
    x = 432,383,046.66/30,291.13
  6. Step 6: Final answer
    x = 14,274.25

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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.