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Finding the Fourth Proportional to 106,155.42, 159,229 and 39,595.42

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Solution

The fourth proportional to 106,155.42, 159,229 and 39,595.42 is: 59,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,155.42 : 159,229 = 39,595.42 : x
  2. Step 2: Convert to fraction form
    106,155.42/159,229 = 39,595.42/x
  3. Step 3: Cross multiply
    106,155.42x = 159,229 × 39,595.42
  4. Step 4: Simplify right side
    106,155.42x = 6,304,739,131.18
  5. Step 5: Solve for x
    x = 6,304,739,131.18/106,155.42
  6. Step 6: Final answer
    x = 59,391.59

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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.