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Finding the Fourth Proportional to 77,013.64, 115,491.30 and 30,241

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Solution

The fourth proportional to 77,013.64, 115,491.30 and 30,241 is: 45,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,013.64 : 115,491.30 = 30,241 : x
  2. Step 2: Convert to fraction form
    77,013.64/115,491.30 = 30,241/x
  3. Step 3: Cross multiply
    77,013.64x = 115,491.30 × 30,241
  4. Step 4: Simplify right side
    77,013.64x = 3,492,572,403.30
  5. Step 5: Solve for x
    x = 3,492,572,403.30/77,013.64
  6. Step 6: Final answer
    x = 45,350.05

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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.