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Finding the Fourth Proportional to 105,452.80, 158,133.12 and 31,563.52

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Solution

The fourth proportional to 105,452.80, 158,133.12 and 31,563.52 is: 47,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.80 : 158,133.12 = 31,563.52 : x
  2. Step 2: Convert to fraction form
    105,452.80/158,133.12 = 31,563.52/x
  3. Step 3: Cross multiply
    105,452.80x = 158,133.12 × 31,563.52
  4. Step 4: Simplify right side
    105,452.80x = 4,991,237,895.78
  5. Step 5: Solve for x
    x = 4,991,237,895.78/105,452.80
  6. Step 6: Final answer
    x = 47,331.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.