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Finding the Fourth Proportional to 30,254.44, 45,387.42 and 11,785

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Solution

The fourth proportional to 30,254.44, 45,387.42 and 11,785 is: 17,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254.44 : 45,387.42 = 11,785 : x
  2. Step 2: Convert to fraction form
    30,254.44/45,387.42 = 11,785/x
  3. Step 3: Cross multiply
    30,254.44x = 45,387.42 × 11,785
  4. Step 4: Simplify right side
    30,254.44x = 534,890,744.70
  5. Step 5: Solve for x
    x = 534,890,744.70/30,254.44
  6. Step 6: Final answer
    x = 17,679.74

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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.