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Finding the Fourth Proportional to 101,026.50, 151,534.26 and 30,905.82

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Solution

The fourth proportional to 101,026.50, 151,534.26 and 30,905.82 is: 46,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026.50 : 151,534.26 = 30,905.82 : x
  2. Step 2: Convert to fraction form
    101,026.50/151,534.26 = 30,905.82/x
  3. Step 3: Cross multiply
    101,026.50x = 151,534.26 × 30,905.82
  4. Step 4: Simplify right side
    101,026.50x = 4,683,290,563.39
  5. Step 5: Solve for x
    x = 4,683,290,563.39/101,026.50
  6. Step 6: Final answer
    x = 46,357.05

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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.