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Finding the Fourth Proportional to 52,141.50, 78,015.42 and 32,327.28

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Solution

The fourth proportional to 52,141.50, 78,015.42 and 32,327.28 is: 48,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,141.50 : 78,015.42 = 32,327.28 : x
  2. Step 2: Convert to fraction form
    52,141.50/78,015.42 = 32,327.28/x
  3. Step 3: Cross multiply
    52,141.50x = 78,015.42 × 32,327.28
  4. Step 4: Simplify right side
    52,141.50x = 2,522,026,326.66
  5. Step 5: Solve for x
    x = 2,522,026,326.66/52,141.50
  6. Step 6: Final answer
    x = 48,368.89

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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.