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Finding the Fourth Proportional to 52,406.70, 78,538.05 and 33,629.10

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Solution

The fourth proportional to 52,406.70, 78,538.05 and 33,629.10 is: 50,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,406.70 : 78,538.05 = 33,629.10 : x
  2. Step 2: Convert to fraction form
    52,406.70/78,538.05 = 33,629.10/x
  3. Step 3: Cross multiply
    52,406.70x = 78,538.05 × 33,629.10
  4. Step 4: Simplify right side
    52,406.70x = 2,641,163,937.26
  5. Step 5: Solve for x
    x = 2,641,163,937.26/52,406.70
  6. Step 6: Final answer
    x = 50,397.45

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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.