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Finding the Fourth Proportional to 52,211.77, 72,019.47 and 30,976

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Solution

The fourth proportional to 52,211.77, 72,019.47 and 30,976 is: 42,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,211.77 : 72,019.47 = 30,976 : x
  2. Step 2: Convert to fraction form
    52,211.77/72,019.47 = 30,976/x
  3. Step 3: Cross multiply
    52,211.77x = 72,019.47 × 30,976
  4. Step 4: Simplify right side
    52,211.77x = 2,230,875,102.72
  5. Step 5: Solve for x
    x = 2,230,875,102.72/52,211.77
  6. Step 6: Final answer
    x = 42,727.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.