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Finding the Fourth Proportional to 30,290.73, 45,443.28 and 9,514.23

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Solution

The fourth proportional to 30,290.73, 45,443.28 and 9,514.23 is: 14,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.73 : 45,443.28 = 9,514.23 : x
  2. Step 2: Convert to fraction form
    30,290.73/45,443.28 = 9,514.23/x
  3. Step 3: Cross multiply
    30,290.73x = 45,443.28 × 9,514.23
  4. Step 4: Simplify right side
    30,290.73x = 432,357,543.09
  5. Step 5: Solve for x
    x = 432,357,543.09/30,290.73
  6. Step 6: Final answer
    x = 14,273.60

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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.