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Finding the Fourth Proportional to 41,604, 57,413.76 and 26,700

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Solution

The fourth proportional to 41,604, 57,413.76 and 26,700 is: 36,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,604 : 57,413.76 = 26,700 : x
  2. Step 2: Convert to fraction form
    41,604/57,413.76 = 26,700/x
  3. Step 3: Cross multiply
    41,604x = 57,413.76 × 26,700
  4. Step 4: Simplify right side
    41,604x = 1,532,947,392
  5. Step 5: Solve for x
    x = 1,532,947,392/41,604
  6. Step 6: Final answer
    x = 36,846.15

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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.