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Finding the Fourth Proportional to 76,250.25, 105,226.56 and 42,716.25

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Solution

The fourth proportional to 76,250.25, 105,226.56 and 42,716.25 is: 58,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,250.25 : 105,226.56 = 42,716.25 : x
  2. Step 2: Convert to fraction form
    76,250.25/105,226.56 = 42,716.25/x
  3. Step 3: Cross multiply
    76,250.25x = 105,226.56 × 42,716.25
  4. Step 4: Simplify right side
    76,250.25x = 4,494,884,043.60
  5. Step 5: Solve for x
    x = 4,494,884,043.60/76,250.25
  6. Step 6: Final answer
    x = 58,949.11

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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.