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Finding the Fourth Proportional to 76,442.94, 114,705.65 and 44,914.60

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Solution

The fourth proportional to 76,442.94, 114,705.65 and 44,914.60 is: 67,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,442.94 : 114,705.65 = 44,914.60 : x
  2. Step 2: Convert to fraction form
    76,442.94/114,705.65 = 44,914.60/x
  3. Step 3: Cross multiply
    76,442.94x = 114,705.65 × 44,914.60
  4. Step 4: Simplify right side
    76,442.94x = 5,151,958,643.16
  5. Step 5: Solve for x
    x = 5,151,958,643.16/76,442.94
  6. Step 6: Final answer
    x = 67,396.13

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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.