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Finding the Fourth Proportional to 52,538.21, 72,502.96 and 28,665.38

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Solution

The fourth proportional to 52,538.21, 72,502.96 and 28,665.38 is: 39,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538.21 : 72,502.96 = 28,665.38 : x
  2. Step 2: Convert to fraction form
    52,538.21/72,502.96 = 28,665.38/x
  3. Step 3: Cross multiply
    52,538.21x = 72,502.96 × 28,665.38
  4. Step 4: Simplify right side
    52,538.21x = 2,078,324,899.52
  5. Step 5: Solve for x
    x = 2,078,324,899.52/52,538.21
  6. Step 6: Final answer
    x = 39,558.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.