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Finding the Fourth Proportional to 43,778, 60,413.64 and 23,906

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Solution

The fourth proportional to 43,778, 60,413.64 and 23,906 is: 32,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,778 : 60,413.64 = 23,906 : x
  2. Step 2: Convert to fraction form
    43,778/60,413.64 = 23,906/x
  3. Step 3: Cross multiply
    43,778x = 60,413.64 × 23,906
  4. Step 4: Simplify right side
    43,778x = 1,444,248,477.84
  5. Step 5: Solve for x
    x = 1,444,248,477.84/43,778
  6. Step 6: Final answer
    x = 32,990.28

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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.