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Finding the Fourth Proportional to 65,048.70, 97,591.41 and 18,301.98

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Solution

The fourth proportional to 65,048.70, 97,591.41 and 18,301.98 is: 27,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,048.70 : 97,591.41 = 18,301.98 : x
  2. Step 2: Convert to fraction form
    65,048.70/97,591.41 = 18,301.98/x
  3. Step 3: Cross multiply
    65,048.70x = 97,591.41 × 18,301.98
  4. Step 4: Simplify right side
    65,048.70x = 1,786,116,033.99
  5. Step 5: Solve for x
    x = 1,786,116,033.99/65,048.70
  6. Step 6: Final answer
    x = 27,458.14

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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.