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Finding the Fourth Proportional to 52,912.32, 73,021.14 and 30,255

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Solution

The fourth proportional to 52,912.32, 73,021.14 and 30,255 is: 41,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,912.32 : 73,021.14 = 30,255 : x
  2. Step 2: Convert to fraction form
    52,912.32/73,021.14 = 30,255/x
  3. Step 3: Cross multiply
    52,912.32x = 73,021.14 × 30,255
  4. Step 4: Simplify right side
    52,912.32x = 2,209,254,590.70
  5. Step 5: Solve for x
    x = 2,209,254,590.70/52,912.32
  6. Step 6: Final answer
    x = 41,753.12

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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.