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Finding the Fourth Proportional to 105,524.55, 158,295.03 and 30,645.93

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Solution

The fourth proportional to 105,524.55, 158,295.03 and 30,645.93 is: 45,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,524.55 : 158,295.03 = 30,645.93 : x
  2. Step 2: Convert to fraction form
    105,524.55/158,295.03 = 30,645.93/x
  3. Step 3: Cross multiply
    105,524.55x = 158,295.03 × 30,645.93
  4. Step 4: Simplify right side
    105,524.55x = 4,851,098,408.73
  5. Step 5: Solve for x
    x = 4,851,098,408.73/105,524.55
  6. Step 6: Final answer
    x = 45,971.28

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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.