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Finding the Fourth Proportional to 101,211, 151,816.50 and 31,090.32

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Solution

The fourth proportional to 101,211, 151,816.50 and 31,090.32 is: 46,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,211 : 151,816.50 = 31,090.32 : x
  2. Step 2: Convert to fraction form
    101,211/151,816.50 = 31,090.32/x
  3. Step 3: Cross multiply
    101,211x = 151,816.50 × 31,090.32
  4. Step 4: Simplify right side
    101,211x = 4,720,023,566.28
  5. Step 5: Solve for x
    x = 4,720,023,566.28/101,211
  6. Step 6: Final answer
    x = 46,635.48

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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.