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Finding the Fourth Proportional to 30,102.25, 45,125.43 and 11,116.39

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Solution

The fourth proportional to 30,102.25, 45,125.43 and 11,116.39 is: 16,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.25 : 45,125.43 = 11,116.39 : x
  2. Step 2: Convert to fraction form
    30,102.25/45,125.43 = 11,116.39/x
  3. Step 3: Cross multiply
    30,102.25x = 45,125.43 × 11,116.39
  4. Step 4: Simplify right side
    30,102.25x = 501,631,878.80
  5. Step 5: Solve for x
    x = 501,631,878.80/30,102.25
  6. Step 6: Final answer
    x = 16,664.27

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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.