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Finding the Fourth Proportional to 76,448.69, 114,498.44 and 36,495.77

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Solution

The fourth proportional to 76,448.69, 114,498.44 and 36,495.77 is: 54,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,448.69 : 114,498.44 = 36,495.77 : x
  2. Step 2: Convert to fraction form
    76,448.69/114,498.44 = 36,495.77/x
  3. Step 3: Cross multiply
    76,448.69x = 114,498.44 × 36,495.77
  4. Step 4: Simplify right side
    76,448.69x = 4,178,708,835.37
  5. Step 5: Solve for x
    x = 4,178,708,835.37/76,448.69
  6. Step 6: Final answer
    x = 54,660.31

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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.