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Finding the Fourth Proportional to 75,902.76, 113,817.70 and 35,888.40

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Solution

The fourth proportional to 75,902.76, 113,817.70 and 35,888.40 is: 53,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,902.76 : 113,817.70 = 35,888.40 : x
  2. Step 2: Convert to fraction form
    75,902.76/113,817.70 = 35,888.40/x
  3. Step 3: Cross multiply
    75,902.76x = 113,817.70 × 35,888.40
  4. Step 4: Simplify right side
    75,902.76x = 4,084,735,144.68
  5. Step 5: Solve for x
    x = 4,084,735,144.68/75,902.76
  6. Step 6: Final answer
    x = 53,815.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.