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Finding the Fourth Proportional to 76,743.21, 105,821.03 and 52,548.21

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Solution

The fourth proportional to 76,743.21, 105,821.03 and 52,548.21 is: 72,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,743.21 : 105,821.03 = 52,548.21 : x
  2. Step 2: Convert to fraction form
    76,743.21/105,821.03 = 52,548.21/x
  3. Step 3: Cross multiply
    76,743.21x = 105,821.03 × 52,548.21
  4. Step 4: Simplify right side
    76,743.21x = 5,560,705,838.23
  5. Step 5: Solve for x
    x = 5,560,705,838.23/76,743.21
  6. Step 6: Final answer
    x = 72,458.60

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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.