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Finding the Fourth Proportional to 77,406.75, 116,129.63 and 22,002.75

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Solution

The fourth proportional to 77,406.75, 116,129.63 and 22,002.75 is: 33,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406.75 : 116,129.63 = 22,002.75 : x
  2. Step 2: Convert to fraction form
    77,406.75/116,129.63 = 22,002.75/x
  3. Step 3: Cross multiply
    77,406.75x = 116,129.63 × 22,002.75
  4. Step 4: Simplify right side
    77,406.75x = 2,555,171,271.49
  5. Step 5: Solve for x
    x = 2,555,171,271.49/77,406.75
  6. Step 6: Final answer
    x = 33,009.67

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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.