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Finding the Fourth Proportional to 52,365.84, 78,523.02 and 18,620.52

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Solution

The fourth proportional to 52,365.84, 78,523.02 and 18,620.52 is: 27,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,365.84 : 78,523.02 = 18,620.52 : x
  2. Step 2: Convert to fraction form
    52,365.84/78,523.02 = 18,620.52/x
  3. Step 3: Cross multiply
    52,365.84x = 78,523.02 × 18,620.52
  4. Step 4: Simplify right side
    52,365.84x = 1,462,139,464.37
  5. Step 5: Solve for x
    x = 1,462,139,464.37/52,365.84
  6. Step 6: Final answer
    x = 27,921.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.