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Finding the Fourth Proportional to 65,390.25, 98,086.29 and 18,643.14

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Solution

The fourth proportional to 65,390.25, 98,086.29 and 18,643.14 is: 27,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,390.25 : 98,086.29 = 18,643.14 : x
  2. Step 2: Convert to fraction form
    65,390.25/98,086.29 = 18,643.14/x
  3. Step 3: Cross multiply
    65,390.25x = 98,086.29 × 18,643.14
  4. Step 4: Simplify right side
    65,390.25x = 1,828,636,436.55
  5. Step 5: Solve for x
    x = 1,828,636,436.55/65,390.25
  6. Step 6: Final answer
    x = 27,964.97

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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.