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Finding the Fourth Proportional to 77,770.64, 116,469.08 and 44,389.50

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Solution

The fourth proportional to 77,770.64, 116,469.08 and 44,389.50 is: 66,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,770.64 : 116,469.08 = 44,389.50 : x
  2. Step 2: Convert to fraction form
    77,770.64/116,469.08 = 44,389.50/x
  3. Step 3: Cross multiply
    77,770.64x = 116,469.08 × 44,389.50
  4. Step 4: Simplify right side
    77,770.64x = 5,170,004,226.66
  5. Step 5: Solve for x
    x = 5,170,004,226.66/77,770.64
  6. Step 6: Final answer
    x = 66,477.58

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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.