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Finding the Fourth Proportional to 52,608.96, 78,914.16 and 29,383.20

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Solution

The fourth proportional to 52,608.96, 78,914.16 and 29,383.20 is: 44,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,608.96 : 78,914.16 = 29,383.20 : x
  2. Step 2: Convert to fraction form
    52,608.96/78,914.16 = 29,383.20/x
  3. Step 3: Cross multiply
    52,608.96x = 78,914.16 × 29,383.20
  4. Step 4: Simplify right side
    52,608.96x = 2,318,750,546.11
  5. Step 5: Solve for x
    x = 2,318,750,546.11/52,608.96
  6. Step 6: Final answer
    x = 44,075.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.