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Finding the Fourth Proportional to 105,454.80, 158,136.12 and 31,565.52

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Solution

The fourth proportional to 105,454.80, 158,136.12 and 31,565.52 is: 47,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,454.80 : 158,136.12 = 31,565.52 : x
  2. Step 2: Convert to fraction form
    105,454.80/158,136.12 = 31,565.52/x
  3. Step 3: Cross multiply
    105,454.80x = 158,136.12 × 31,565.52
  4. Step 4: Simplify right side
    105,454.80x = 4,991,648,858.58
  5. Step 5: Solve for x
    x = 4,991,648,858.58/105,454.80
  6. Step 6: Final answer
    x = 47,334.49

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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.