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Finding the Fourth Proportional to 97,223.69, 145,735.38 and 37,235.80

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Solution

The fourth proportional to 97,223.69, 145,735.38 and 37,235.80 is: 55,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,223.69 : 145,735.38 = 37,235.80 : x
  2. Step 2: Convert to fraction form
    97,223.69/145,735.38 = 37,235.80/x
  3. Step 3: Cross multiply
    97,223.69x = 145,735.38 × 37,235.80
  4. Step 4: Simplify right side
    97,223.69x = 5,426,573,540.05
  5. Step 5: Solve for x
    x = 5,426,573,540.05/97,223.69
  6. Step 6: Final answer
    x = 55,815.34

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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.