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Finding the Fourth Proportional to 28,402.62, 42,538.32 and 27,418.50

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Solution

The fourth proportional to 28,402.62, 42,538.32 and 27,418.50 is: 41,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,402.62 : 42,538.32 = 27,418.50 : x
  2. Step 2: Convert to fraction form
    28,402.62/42,538.32 = 27,418.50/x
  3. Step 3: Cross multiply
    28,402.62x = 42,538.32 × 27,418.50
  4. Step 4: Simplify right side
    28,402.62x = 1,166,336,926.92
  5. Step 5: Solve for x
    x = 1,166,336,926.92/28,402.62
  6. Step 6: Final answer
    x = 41,064.41

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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.