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Finding the Fourth Proportional to 109,169.44, 163,829.32 and 38,092.48

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Solution

The fourth proportional to 109,169.44, 163,829.32 and 38,092.48 is: 57,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,169.44 : 163,829.32 = 38,092.48 : x
  2. Step 2: Convert to fraction form
    109,169.44/163,829.32 = 38,092.48/x
  3. Step 3: Cross multiply
    109,169.44x = 163,829.32 × 38,092.48
  4. Step 4: Simplify right side
    109,169.44x = 6,240,665,095.51
  5. Step 5: Solve for x
    x = 6,240,665,095.51/109,169.44
  6. Step 6: Final answer
    x = 57,164.95

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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.