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Finding the Fourth Proportional to 109,782.30, 164,683.17 and 45,726.30

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Solution

The fourth proportional to 109,782.30, 164,683.17 and 45,726.30 is: 68,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,782.30 : 164,683.17 = 45,726.30 : x
  2. Step 2: Convert to fraction form
    109,782.30/164,683.17 = 45,726.30/x
  3. Step 3: Cross multiply
    109,782.30x = 164,683.17 × 45,726.30
  4. Step 4: Simplify right side
    109,782.30x = 7,530,352,036.37
  5. Step 5: Solve for x
    x = 7,530,352,036.37/109,782.30
  6. Step 6: Final answer
    x = 68,593.50

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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.