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Finding the Fourth Proportional to 65,654, 90,602.56 and 35,846

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Solution

The fourth proportional to 65,654, 90,602.56 and 35,846 is: 49,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,654 : 90,602.56 = 35,846 : x
  2. Step 2: Convert to fraction form
    65,654/90,602.56 = 35,846/x
  3. Step 3: Cross multiply
    65,654x = 90,602.56 × 35,846
  4. Step 4: Simplify right side
    65,654x = 3,247,739,365.76
  5. Step 5: Solve for x
    x = 3,247,739,365.76/65,654
  6. Step 6: Final answer
    x = 49,467.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.