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Finding the Fourth Proportional to 65,210.20, 97,853.70 and 23,651.80

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Solution

The fourth proportional to 65,210.20, 97,853.70 and 23,651.80 is: 35,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.20 : 97,853.70 = 23,651.80 : x
  2. Step 2: Convert to fraction form
    65,210.20/97,853.70 = 23,651.80/x
  3. Step 3: Cross multiply
    65,210.20x = 97,853.70 × 23,651.80
  4. Step 4: Simplify right side
    65,210.20x = 2,314,416,141.66
  5. Step 5: Solve for x
    x = 2,314,416,141.66/65,210.20
  6. Step 6: Final answer
    x = 35,491.63

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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.