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Finding the Fourth Proportional to 52,364, 72,261.76 and 31,142.80

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Solution

The fourth proportional to 52,364, 72,261.76 and 31,142.80 is: 42,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,364 : 72,261.76 = 31,142.80 : x
  2. Step 2: Convert to fraction form
    52,364/72,261.76 = 31,142.80/x
  3. Step 3: Cross multiply
    52,364x = 72,261.76 × 31,142.80
  4. Step 4: Simplify right side
    52,364x = 2,250,433,539.33
  5. Step 5: Solve for x
    x = 2,250,433,539.33/52,364
  6. Step 6: Final answer
    x = 42,976.73

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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.