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Finding the Fourth Proportional to 76,197.31, 114,263.87 and 28,804.41

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Solution

The fourth proportional to 76,197.31, 114,263.87 and 28,804.41 is: 43,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,197.31 : 114,263.87 = 28,804.41 : x
  2. Step 2: Convert to fraction form
    76,197.31/114,263.87 = 28,804.41/x
  3. Step 3: Cross multiply
    76,197.31x = 114,263.87 × 28,804.41
  4. Step 4: Simplify right side
    76,197.31x = 3,291,303,215.64
  5. Step 5: Solve for x
    x = 3,291,303,215.64/76,197.31
  6. Step 6: Final answer
    x = 43,194.48

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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.