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Finding the Fourth Proportional to 64,077.36, 96,048 and 37,794.48

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Solution

The fourth proportional to 64,077.36, 96,048 and 37,794.48 is: 56,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,077.36 : 96,048 = 37,794.48 : x
  2. Step 2: Convert to fraction form
    64,077.36/96,048 = 37,794.48/x
  3. Step 3: Cross multiply
    64,077.36x = 96,048 × 37,794.48
  4. Step 4: Simplify right side
    64,077.36x = 3,630,084,215.04
  5. Step 5: Solve for x
    x = 3,630,084,215.04/64,077.36
  6. Step 6: Final answer
    x = 56,651.59

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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.