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Finding the Fourth Proportional to 52,178.40, 78,310.80 and 24,141.60

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Solution

The fourth proportional to 52,178.40, 78,310.80 and 24,141.60 is: 36,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,178.40 : 78,310.80 = 24,141.60 : x
  2. Step 2: Convert to fraction form
    52,178.40/78,310.80 = 24,141.60/x
  3. Step 3: Cross multiply
    52,178.40x = 78,310.80 × 24,141.60
  4. Step 4: Simplify right side
    52,178.40x = 1,890,548,009.28
  5. Step 5: Solve for x
    x = 1,890,548,009.28/52,178.40
  6. Step 6: Final answer
    x = 36,232.39

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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.