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Finding the Fourth Proportional to 75,402, 104,056.12 and 41,413.68

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Solution

The fourth proportional to 75,402, 104,056.12 and 41,413.68 is: 57,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,402 : 104,056.12 = 41,413.68 : x
  2. Step 2: Convert to fraction form
    75,402/104,056.12 = 41,413.68/x
  3. Step 3: Cross multiply
    75,402x = 104,056.12 × 41,413.68
  4. Step 4: Simplify right side
    75,402x = 4,309,346,855.72
  5. Step 5: Solve for x
    x = 4,309,346,855.72/75,402
  6. Step 6: Final answer
    x = 57,151.63

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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.