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Finding the Fourth Proportional to 101,071.50, 151,640.73 and 30,951.42

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Solution

The fourth proportional to 101,071.50, 151,640.73 and 30,951.42 is: 46,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,071.50 : 151,640.73 = 30,951.42 : x
  2. Step 2: Convert to fraction form
    101,071.50/151,640.73 = 30,951.42/x
  3. Step 3: Cross multiply
    101,071.50x = 151,640.73 × 30,951.42
  4. Step 4: Simplify right side
    101,071.50x = 4,693,495,923.34
  5. Step 5: Solve for x
    x = 4,693,495,923.34/101,071.50
  6. Step 6: Final answer
    x = 46,437.38

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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.