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Finding the Fourth Proportional to 65,396.25, 98,095.30 and 18,649.13

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Solution

The fourth proportional to 65,396.25, 98,095.30 and 18,649.13 is: 27,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,396.25 : 98,095.30 = 18,649.13 : x
  2. Step 2: Convert to fraction form
    65,396.25/98,095.30 = 18,649.13/x
  3. Step 3: Cross multiply
    65,396.25x = 98,095.30 × 18,649.13
  4. Step 4: Simplify right side
    65,396.25x = 1,829,391,464.99
  5. Step 5: Solve for x
    x = 1,829,391,464.99/65,396.25
  6. Step 6: Final answer
    x = 27,973.95

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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.