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Finding the Fourth Proportional to 65,097.20, 97,645.80 and 30,105.20

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Solution

The fourth proportional to 65,097.20, 97,645.80 and 30,105.20 is: 45,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.20 : 97,645.80 = 30,105.20 : x
  2. Step 2: Convert to fraction form
    65,097.20/97,645.80 = 30,105.20/x
  3. Step 3: Cross multiply
    65,097.20x = 97,645.80 × 30,105.20
  4. Step 4: Simplify right side
    65,097.20x = 2,939,646,338.16
  5. Step 5: Solve for x
    x = 2,939,646,338.16/65,097.20
  6. Step 6: Final answer
    x = 45,157.80

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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.