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Finding the Fourth Proportional to 101,376.63, 152,055.23 and 31,237.11

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Solution

The fourth proportional to 101,376.63, 152,055.23 and 31,237.11 is: 46,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,376.63 : 152,055.23 = 31,237.11 : x
  2. Step 2: Convert to fraction form
    101,376.63/152,055.23 = 31,237.11/x
  3. Step 3: Cross multiply
    101,376.63x = 152,055.23 × 31,237.11
  4. Step 4: Simplify right side
    101,376.63x = 4,749,765,789.40
  5. Step 5: Solve for x
    x = 4,749,765,789.40/101,376.63
  6. Step 6: Final answer
    x = 46,852.67

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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.