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Finding the Fourth Proportional to 76,578.46, 114,854.73 and 21,161.50

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Solution

The fourth proportional to 76,578.46, 114,854.73 and 21,161.50 is: 31,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,578.46 : 114,854.73 = 21,161.50 : x
  2. Step 2: Convert to fraction form
    76,578.46/114,854.73 = 21,161.50/x
  3. Step 3: Cross multiply
    76,578.46x = 114,854.73 × 21,161.50
  4. Step 4: Simplify right side
    76,578.46x = 2,430,498,368.90
  5. Step 5: Solve for x
    x = 2,430,498,368.90/76,578.46
  6. Step 6: Final answer
    x = 31,738.67

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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.