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Finding the Fourth Proportional to 83,954.04, 115,856.04 and 46,228

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Solution

The fourth proportional to 83,954.04, 115,856.04 and 46,228 is: 63,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,954.04 : 115,856.04 = 46,228 : x
  2. Step 2: Convert to fraction form
    83,954.04/115,856.04 = 46,228/x
  3. Step 3: Cross multiply
    83,954.04x = 115,856.04 × 46,228
  4. Step 4: Simplify right side
    83,954.04x = 5,355,793,017.12
  5. Step 5: Solve for x
    x = 5,355,793,017.12/83,954.04
  6. Step 6: Final answer
    x = 63,794.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.