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Finding the Fourth Proportional to 52,026.72, 78,043.50 and 18,288.64

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Solution

The fourth proportional to 52,026.72, 78,043.50 and 18,288.64 is: 27,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,026.72 : 78,043.50 = 18,288.64 : x
  2. Step 2: Convert to fraction form
    52,026.72/78,043.50 = 18,288.64/x
  3. Step 3: Cross multiply
    52,026.72x = 78,043.50 × 18,288.64
  4. Step 4: Simplify right side
    52,026.72x = 1,427,309,475.84
  5. Step 5: Solve for x
    x = 1,427,309,475.84/52,026.72
  6. Step 6: Final answer
    x = 27,434.16

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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.