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Finding the Fourth Proportional to 75,712.25, 104,485.07 and 42,180.41

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Solution

The fourth proportional to 75,712.25, 104,485.07 and 42,180.41 is: 58,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712.25 : 104,485.07 = 42,180.41 : x
  2. Step 2: Convert to fraction form
    75,712.25/104,485.07 = 42,180.41/x
  3. Step 3: Cross multiply
    75,712.25x = 104,485.07 × 42,180.41
  4. Step 4: Simplify right side
    75,712.25x = 4,407,222,880.58
  5. Step 5: Solve for x
    x = 4,407,222,880.58/75,712.25
  6. Step 6: Final answer
    x = 58,210.17

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