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Finding the Fourth Proportional to 65,230.49, 97,770.14 and 30,097.01

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Solution

The fourth proportional to 65,230.49, 97,770.14 and 30,097.01 is: 45,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.49 : 97,770.14 = 30,097.01 : x
  2. Step 2: Convert to fraction form
    65,230.49/97,770.14 = 30,097.01/x
  3. Step 3: Cross multiply
    65,230.49x = 97,770.14 × 30,097.01
  4. Step 4: Simplify right side
    65,230.49x = 2,942,588,730.80
  5. Step 5: Solve for x
    x = 2,942,588,730.80/65,230.49
  6. Step 6: Final answer
    x = 45,110.63

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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.