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Finding the Fourth Proportional to 52,830.10, 72,914.13 and 30,169.30

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Solution

The fourth proportional to 52,830.10, 72,914.13 and 30,169.30 is: 41,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,830.10 : 72,914.13 = 30,169.30 : x
  2. Step 2: Convert to fraction form
    52,830.10/72,914.13 = 30,169.30/x
  3. Step 3: Cross multiply
    52,830.10x = 72,914.13 × 30,169.30
  4. Step 4: Simplify right side
    52,830.10x = 2,199,768,262.21
  5. Step 5: Solve for x
    x = 2,199,768,262.21/52,830.10
  6. Step 6: Final answer
    x = 41,638.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.