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Finding the Fourth Proportional to 101,333.60, 152,014.80 and 31,205.60

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Solution

The fourth proportional to 101,333.60, 152,014.80 and 31,205.60 is: 46,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,333.60 : 152,014.80 = 31,205.60 : x
  2. Step 2: Convert to fraction form
    101,333.60/152,014.80 = 31,205.60/x
  3. Step 3: Cross multiply
    101,333.60x = 152,014.80 × 31,205.60
  4. Step 4: Simplify right side
    101,333.60x = 4,743,713,042.88
  5. Step 5: Solve for x
    x = 4,743,713,042.88/101,333.60
  6. Step 6: Final answer
    x = 46,812.83

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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.