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Finding the Fourth Proportional to 77,596.34, 116,376.05 and 21,435.20

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Solution

The fourth proportional to 77,596.34, 116,376.05 and 21,435.20 is: 32,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,596.34 : 116,376.05 = 21,435.20 : x
  2. Step 2: Convert to fraction form
    77,596.34/116,376.05 = 21,435.20/x
  3. Step 3: Cross multiply
    77,596.34x = 116,376.05 × 21,435.20
  4. Step 4: Simplify right side
    77,596.34x = 2,494,543,906.96
  5. Step 5: Solve for x
    x = 2,494,543,906.96/77,596.34
  6. Step 6: Final answer
    x = 32,147.70

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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.