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Finding the Fourth Proportional to 52,181.48, 78,274.38 and 21,017

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Solution

The fourth proportional to 52,181.48, 78,274.38 and 21,017 is: 31,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,181.48 : 78,274.38 = 21,017 : x
  2. Step 2: Convert to fraction form
    52,181.48/78,274.38 = 21,017/x
  3. Step 3: Cross multiply
    52,181.48x = 78,274.38 × 21,017
  4. Step 4: Simplify right side
    52,181.48x = 1,645,092,644.46
  5. Step 5: Solve for x
    x = 1,645,092,644.46/52,181.48
  6. Step 6: Final answer
    x = 31,526.37

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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.