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Finding the Fourth Proportional to 57,354.31, 85,893.03 and 34,492.42

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Solution

The fourth proportional to 57,354.31, 85,893.03 and 34,492.42 is: 51,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354.31 : 85,893.03 = 34,492.42 : x
  2. Step 2: Convert to fraction form
    57,354.31/85,893.03 = 34,492.42/x
  3. Step 3: Cross multiply
    57,354.31x = 85,893.03 × 34,492.42
  4. Step 4: Simplify right side
    57,354.31x = 2,962,658,036.37
  5. Step 5: Solve for x
    x = 2,962,658,036.37/57,354.31
  6. Step 6: Final answer
    x = 51,655.37

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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.