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Finding the Fourth Proportional to 105,673.88, 158,531.54 and 39,114.57

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Solution

The fourth proportional to 105,673.88, 158,531.54 and 39,114.57 is: 58,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,673.88 : 158,531.54 = 39,114.57 : x
  2. Step 2: Convert to fraction form
    105,673.88/158,531.54 = 39,114.57/x
  3. Step 3: Cross multiply
    105,673.88x = 158,531.54 × 39,114.57
  4. Step 4: Simplify right side
    105,673.88x = 6,200,892,822.96
  5. Step 5: Solve for x
    x = 6,200,892,822.96/105,673.88
  6. Step 6: Final answer
    x = 58,679.53

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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.