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Finding the Fourth Proportional to 75,401.61, 104,055.41 and 41,413.58

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Solution

The fourth proportional to 75,401.61, 104,055.41 and 41,413.58 is: 57,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,401.61 : 104,055.41 = 41,413.58 : x
  2. Step 2: Convert to fraction form
    75,401.61/104,055.41 = 41,413.58/x
  3. Step 3: Cross multiply
    75,401.61x = 104,055.41 × 41,413.58
  4. Step 4: Simplify right side
    75,401.61x = 4,309,306,903.46
  5. Step 5: Solve for x
    x = 4,309,306,903.46/75,401.61
  6. Step 6: Final answer
    x = 57,151.39

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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.