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Finding the Fourth Proportional to 77,014.14, 115,492.05 and 30,241.50

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Solution

The fourth proportional to 77,014.14, 115,492.05 and 30,241.50 is: 45,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,014.14 : 115,492.05 = 30,241.50 : x
  2. Step 2: Convert to fraction form
    77,014.14/115,492.05 = 30,241.50/x
  3. Step 3: Cross multiply
    77,014.14x = 115,492.05 × 30,241.50
  4. Step 4: Simplify right side
    77,014.14x = 3,492,652,830.08
  5. Step 5: Solve for x
    x = 3,492,652,830.08/77,014.14
  6. Step 6: Final answer
    x = 45,350.80

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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.