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Finding the Fourth Proportional to 50,492.90, 69,684.21 and 27,835.92

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Solution

The fourth proportional to 50,492.90, 69,684.21 and 27,835.92 is: 38,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.90 : 69,684.21 = 27,835.92 : x
  2. Step 2: Convert to fraction form
    50,492.90/69,684.21 = 27,835.92/x
  3. Step 3: Cross multiply
    50,492.90x = 69,684.21 × 27,835.92
  4. Step 4: Simplify right side
    50,492.90x = 1,939,724,094.82
  5. Step 5: Solve for x
    x = 1,939,724,094.82/50,492.90
  6. Step 6: Final answer
    x = 38,415.78

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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.