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Finding the Fourth Proportional to 97,764, 146,646 and 35,434.56

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Solution

The fourth proportional to 97,764, 146,646 and 35,434.56 is: 53,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,764 : 146,646 = 35,434.56 : x
  2. Step 2: Convert to fraction form
    97,764/146,646 = 35,434.56/x
  3. Step 3: Cross multiply
    97,764x = 146,646 × 35,434.56
  4. Step 4: Simplify right side
    97,764x = 5,196,336,485.76
  5. Step 5: Solve for x
    x = 5,196,336,485.76/97,764
  6. Step 6: Final answer
    x = 53,151.84

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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.