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Finding the Fourth Proportional to 106,534.58, 159,760.34 and 39,938.38

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Solution

The fourth proportional to 106,534.58, 159,760.34 and 39,938.38 is: 59,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,534.58 : 159,760.34 = 39,938.38 : x
  2. Step 2: Convert to fraction form
    106,534.58/159,760.34 = 39,938.38/x
  3. Step 3: Cross multiply
    106,534.58x = 159,760.34 × 39,938.38
  4. Step 4: Simplify right side
    106,534.58x = 6,380,569,167.85
  5. Step 5: Solve for x
    x = 6,380,569,167.85/106,534.58
  6. Step 6: Final answer
    x = 59,892.00

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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.