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Finding the Fourth Proportional to 76,289.82, 114,414.22 and 31,907.40

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Solution

The fourth proportional to 76,289.82, 114,414.22 and 31,907.40 is: 47,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,289.82 : 114,414.22 = 31,907.40 : x
  2. Step 2: Convert to fraction form
    76,289.82/114,414.22 = 31,907.40/x
  3. Step 3: Cross multiply
    76,289.82x = 114,414.22 × 31,907.40
  4. Step 4: Simplify right side
    76,289.82x = 3,650,660,283.23
  5. Step 5: Solve for x
    x = 3,650,660,283.23/76,289.82
  6. Step 6: Final answer
    x = 47,852.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.