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Finding the Fourth Proportional to 30,563.70, 45,841.65 and 11,830.91

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Solution

The fourth proportional to 30,563.70, 45,841.65 and 11,830.91 is: 17,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,563.70 : 45,841.65 = 11,830.91 : x
  2. Step 2: Convert to fraction form
    30,563.70/45,841.65 = 11,830.91/x
  3. Step 3: Cross multiply
    30,563.70x = 45,841.65 × 11,830.91
  4. Step 4: Simplify right side
    30,563.70x = 542,348,419.69
  5. Step 5: Solve for x
    x = 542,348,419.69/30,563.70
  6. Step 6: Final answer
    x = 17,744.86

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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.