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Finding the Fourth Proportional to 48,296.34, 72,457.50 and 20,201.58

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Solution

The fourth proportional to 48,296.34, 72,457.50 and 20,201.58 is: 30,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,296.34 : 72,457.50 = 20,201.58 : x
  2. Step 2: Convert to fraction form
    48,296.34/72,457.50 = 20,201.58/x
  3. Step 3: Cross multiply
    48,296.34x = 72,457.50 × 20,201.58
  4. Step 4: Simplify right side
    48,296.34x = 1,463,755,982.85
  5. Step 5: Solve for x
    x = 1,463,755,982.85/48,296.34
  6. Step 6: Final answer
    x = 30,307.80

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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.