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Finding the Fourth Proportional to 77,807.64, 116,700.42 and 44,419.44

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Solution

The fourth proportional to 77,807.64, 116,700.42 and 44,419.44 is: 66,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,807.64 : 116,700.42 = 44,419.44 : x
  2. Step 2: Convert to fraction form
    77,807.64/116,700.42 = 44,419.44/x
  3. Step 3: Cross multiply
    77,807.64x = 116,700.42 × 44,419.44
  4. Step 4: Simplify right side
    77,807.64x = 5,183,767,304.16
  5. Step 5: Solve for x
    x = 5,183,767,304.16/77,807.64
  6. Step 6: Final answer
    x = 66,622.86

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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.