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Finding the Fourth Proportional to 84,954, 127,482.84 and 35,706

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Solution

The fourth proportional to 84,954, 127,482.84 and 35,706 is: 53,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,954 : 127,482.84 = 35,706 : x
  2. Step 2: Convert to fraction form
    84,954/127,482.84 = 35,706/x
  3. Step 3: Cross multiply
    84,954x = 127,482.84 × 35,706
  4. Step 4: Simplify right side
    84,954x = 4,551,902,285.04
  5. Step 5: Solve for x
    x = 4,551,902,285.04/84,954
  6. Step 6: Final answer
    x = 53,580.79

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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.