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Finding the Fourth Proportional to 30,901.54, 46,355.90 and 11,189.38

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Solution

The fourth proportional to 30,901.54, 46,355.90 and 11,189.38 is: 16,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.54 : 46,355.90 = 11,189.38 : x
  2. Step 2: Convert to fraction form
    30,901.54/46,355.90 = 11,189.38/x
  3. Step 3: Cross multiply
    30,901.54x = 46,355.90 × 11,189.38
  4. Step 4: Simplify right side
    30,901.54x = 518,693,780.34
  5. Step 5: Solve for x
    x = 518,693,780.34/30,901.54
  6. Step 6: Final answer
    x = 16,785.37

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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.