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Finding the Fourth Proportional to 30,553.34, 45,830.21 and 11,835.45

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Solution

The fourth proportional to 30,553.34, 45,830.21 and 11,835.45 is: 17,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,553.34 : 45,830.21 = 11,835.45 : x
  2. Step 2: Convert to fraction form
    30,553.34/45,830.21 = 11,835.45/x
  3. Step 3: Cross multiply
    30,553.34x = 45,830.21 × 11,835.45
  4. Step 4: Simplify right side
    30,553.34x = 542,421,099.77
  5. Step 5: Solve for x
    x = 542,421,099.77/30,553.34
  6. Step 6: Final answer
    x = 17,753.25

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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.