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Finding the Fourth Proportional to 30,311.70, 45,459.45 and 10,588.20

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Solution

The fourth proportional to 30,311.70, 45,459.45 and 10,588.20 is: 15,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.70 : 45,459.45 = 10,588.20 : x
  2. Step 2: Convert to fraction form
    30,311.70/45,459.45 = 10,588.20/x
  3. Step 3: Cross multiply
    30,311.70x = 45,459.45 × 10,588.20
  4. Step 4: Simplify right side
    30,311.70x = 481,333,748.49
  5. Step 5: Solve for x
    x = 481,333,748.49/30,311.70
  6. Step 6: Final answer
    x = 15,879.47

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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.