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Finding the Fourth Proportional to 97,283.70, 145,839.42 and 38,161.80

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Solution

The fourth proportional to 97,283.70, 145,839.42 and 38,161.80 is: 57,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,283.70 : 145,839.42 = 38,161.80 : x
  2. Step 2: Convert to fraction form
    97,283.70/145,839.42 = 38,161.80/x
  3. Step 3: Cross multiply
    97,283.70x = 145,839.42 × 38,161.80
  4. Step 4: Simplify right side
    97,283.70x = 5,565,494,778.16
  5. Step 5: Solve for x
    x = 5,565,494,778.16/97,283.70
  6. Step 6: Final answer
    x = 57,208.91

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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.