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Finding the Fourth Proportional to 77,015.14, 115,493.55 and 30,242.50

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Solution

The fourth proportional to 77,015.14, 115,493.55 and 30,242.50 is: 45,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,015.14 : 115,493.55 = 30,242.50 : x
  2. Step 2: Convert to fraction form
    77,015.14/115,493.55 = 30,242.50/x
  3. Step 3: Cross multiply
    77,015.14x = 115,493.55 × 30,242.50
  4. Step 4: Simplify right side
    77,015.14x = 3,492,813,685.88
  5. Step 5: Solve for x
    x = 3,492,813,685.88/77,015.14
  6. Step 6: Final answer
    x = 45,352.30

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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.