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Finding the Fourth Proportional to 106,938, 160,407 and 33,066

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Solution

The fourth proportional to 106,938, 160,407 and 33,066 is: 49,599

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,938 : 160,407 = 33,066 : x
  2. Step 2: Convert to fraction form
    106,938/160,407 = 33,066/x
  3. Step 3: Cross multiply
    106,938x = 160,407 × 33,066
  4. Step 4: Simplify right side
    106,938x = 5,304,017,862
  5. Step 5: Solve for x
    x = 5,304,017,862/106,938
  6. Step 6: Final answer
    x = 49,599

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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.