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Finding the Fourth Proportional to 52,305, 78,474.78 and 21,123.24

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Solution

The fourth proportional to 52,305, 78,474.78 and 21,123.24 is: 31,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,305 : 78,474.78 = 21,123.24 : x
  2. Step 2: Convert to fraction form
    52,305/78,474.78 = 21,123.24/x
  3. Step 3: Cross multiply
    52,305x = 78,474.78 × 21,123.24
  4. Step 4: Simplify right side
    52,305x = 1,657,641,611.89
  5. Step 5: Solve for x
    x = 1,657,641,611.89/52,305
  6. Step 6: Final answer
    x = 31,691.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.