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Finding the Fourth Proportional to 71,003.98, 97,985.38 and 38,738.60

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Solution

The fourth proportional to 71,003.98, 97,985.38 and 38,738.60 is: 53,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,003.98 : 97,985.38 = 38,738.60 : x
  2. Step 2: Convert to fraction form
    71,003.98/97,985.38 = 38,738.60/x
  3. Step 3: Cross multiply
    71,003.98x = 97,985.38 × 38,738.60
  4. Step 4: Simplify right side
    71,003.98x = 3,795,816,441.67
  5. Step 5: Solve for x
    x = 3,795,816,441.67/71,003.98
  6. Step 6: Final answer
    x = 53,459.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.