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Finding the Fourth Proportional to 30,905, 46,355.34 and 16,122.26

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Solution

The fourth proportional to 30,905, 46,355.34 and 16,122.26 is: 24,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905 : 46,355.34 = 16,122.26 : x
  2. Step 2: Convert to fraction form
    30,905/46,355.34 = 16,122.26/x
  3. Step 3: Cross multiply
    30,905x = 46,355.34 × 16,122.26
  4. Step 4: Simplify right side
    30,905x = 747,352,843.87
  5. Step 5: Solve for x
    x = 747,352,843.87/30,905
  6. Step 6: Final answer
    x = 24,182.26

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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.