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Finding the Fourth Proportional to 77,468.25, 106,906.19 and 43,934.25

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Solution

The fourth proportional to 77,468.25, 106,906.19 and 43,934.25 is: 60,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,468.25 : 106,906.19 = 43,934.25 : x
  2. Step 2: Convert to fraction form
    77,468.25/106,906.19 = 43,934.25/x
  3. Step 3: Cross multiply
    77,468.25x = 106,906.19 × 43,934.25
  4. Step 4: Simplify right side
    77,468.25x = 4,696,843,058.34
  5. Step 5: Solve for x
    x = 4,696,843,058.34/77,468.25
  6. Step 6: Final answer
    x = 60,629.27

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1.5x scale

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.