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Finding the Fourth Proportional to 77,375.96, 116,056.20 and 24,771.32

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Solution

The fourth proportional to 77,375.96, 116,056.20 and 24,771.32 is: 37,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,375.96 : 116,056.20 = 24,771.32 : x
  2. Step 2: Convert to fraction form
    77,375.96/116,056.20 = 24,771.32/x
  3. Step 3: Cross multiply
    77,375.96x = 116,056.20 × 24,771.32
  4. Step 4: Simplify right side
    77,375.96x = 2,874,865,268.18
  5. Step 5: Solve for x
    x = 2,874,865,268.18/77,375.96
  6. Step 6: Final answer
    x = 37,154.50

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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.