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Finding the Fourth Proportional to 50,492.34, 69,683.45 and 27,835.38

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Solution

The fourth proportional to 50,492.34, 69,683.45 and 27,835.38 is: 38,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.34 : 69,683.45 = 27,835.38 : x
  2. Step 2: Convert to fraction form
    50,492.34/69,683.45 = 27,835.38/x
  3. Step 3: Cross multiply
    50,492.34x = 69,683.45 × 27,835.38
  4. Step 4: Simplify right side
    50,492.34x = 1,939,665,171.28
  5. Step 5: Solve for x
    x = 1,939,665,171.28/50,492.34
  6. Step 6: Final answer
    x = 38,415.04

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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.