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Finding the Fourth Proportional to 36,064, 49,872 and 34,413.76

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Solution

The fourth proportional to 36,064, 49,872 and 34,413.76 is: 47,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,064 : 49,872 = 34,413.76 : x
  2. Step 2: Convert to fraction form
    36,064/49,872 = 34,413.76/x
  3. Step 3: Cross multiply
    36,064x = 49,872 × 34,413.76
  4. Step 4: Simplify right side
    36,064x = 1,716,283,038.72
  5. Step 5: Solve for x
    x = 1,716,283,038.72/36,064
  6. Step 6: Final answer
    x = 47,589.92

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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.