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Finding the Fourth Proportional to 30,277.94, 45,422.34 and 12,508.60

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Solution

The fourth proportional to 30,277.94, 45,422.34 and 12,508.60 is: 18,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.94 : 45,422.34 = 12,508.60 : x
  2. Step 2: Convert to fraction form
    30,277.94/45,422.34 = 12,508.60/x
  3. Step 3: Cross multiply
    30,277.94x = 45,422.34 × 12,508.60
  4. Step 4: Simplify right side
    30,277.94x = 568,169,882.12
  5. Step 5: Solve for x
    x = 568,169,882.12/30,277.94
  6. Step 6: Final answer
    x = 18,765.14

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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.