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Finding the Fourth Proportional to 64,736.94, 97,105.41 and 37,015.50

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Solution

The fourth proportional to 64,736.94, 97,105.41 and 37,015.50 is: 55,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736.94 : 97,105.41 = 37,015.50 : x
  2. Step 2: Convert to fraction form
    64,736.94/97,105.41 = 37,015.50/x
  3. Step 3: Cross multiply
    64,736.94x = 97,105.41 × 37,015.50
  4. Step 4: Simplify right side
    64,736.94x = 3,594,405,303.86
  5. Step 5: Solve for x
    x = 3,594,405,303.86/64,736.94
  6. Step 6: Final answer
    x = 55,523.25

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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.