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Finding the Fourth Proportional to 100,032.36, 150,004.78 and 47,456.84

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Solution

The fourth proportional to 100,032.36, 150,004.78 and 47,456.84 is: 71,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,032.36 : 150,004.78 = 47,456.84 : x
  2. Step 2: Convert to fraction form
    100,032.36/150,004.78 = 47,456.84/x
  3. Step 3: Cross multiply
    100,032.36x = 150,004.78 × 47,456.84
  4. Step 4: Simplify right side
    100,032.36x = 7,118,752,843.70
  5. Step 5: Solve for x
    x = 7,118,752,843.70/100,032.36
  6. Step 6: Final answer
    x = 71,164.50

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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.