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Finding the Fourth Proportional to 101,166.40, 151,749.60 and 31,036.60

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Solution

The fourth proportional to 101,166.40, 151,749.60 and 31,036.60 is: 46,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,166.40 : 151,749.60 = 31,036.60 : x
  2. Step 2: Convert to fraction form
    101,166.40/151,749.60 = 31,036.60/x
  3. Step 3: Cross multiply
    101,166.40x = 151,749.60 × 31,036.60
  4. Step 4: Simplify right side
    101,166.40x = 4,709,791,635.36
  5. Step 5: Solve for x
    x = 4,709,791,635.36/101,166.40
  6. Step 6: Final answer
    x = 46,554.90

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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.