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Finding the Fourth Proportional to 82,168.64, 113,392.74 and 44,442.90

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Solution

The fourth proportional to 82,168.64, 113,392.74 and 44,442.90 is: 61,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,168.64 : 113,392.74 = 44,442.90 : x
  2. Step 2: Convert to fraction form
    82,168.64/113,392.74 = 44,442.90/x
  3. Step 3: Cross multiply
    82,168.64x = 113,392.74 × 44,442.90
  4. Step 4: Simplify right side
    82,168.64x = 5,039,502,204.55
  5. Step 5: Solve for x
    x = 5,039,502,204.55/82,168.64
  6. Step 6: Final answer
    x = 61,331.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.