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Finding the Fourth Proportional to 52,406.40, 78,642 and 21,241.92

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Solution

The fourth proportional to 52,406.40, 78,642 and 21,241.92 is: 31,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,406.40 : 78,642 = 21,241.92 : x
  2. Step 2: Convert to fraction form
    52,406.40/78,642 = 21,241.92/x
  3. Step 3: Cross multiply
    52,406.40x = 78,642 × 21,241.92
  4. Step 4: Simplify right side
    52,406.40x = 1,670,507,072.64
  5. Step 5: Solve for x
    x = 1,670,507,072.64/52,406.40
  6. Step 6: Final answer
    x = 31,876.01

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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.