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Finding the Fourth Proportional to 76,452, 105,503.82 and 42,928.80

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Solution

The fourth proportional to 76,452, 105,503.82 and 42,928.80 is: 59,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,452 : 105,503.82 = 42,928.80 : x
  2. Step 2: Convert to fraction form
    76,452/105,503.82 = 42,928.80/x
  3. Step 3: Cross multiply
    76,452x = 105,503.82 × 42,928.80
  4. Step 4: Simplify right side
    76,452x = 4,529,152,388.02
  5. Step 5: Solve for x
    x = 4,529,152,388.02/76,452
  6. Step 6: Final answer
    x = 59,241.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.