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Finding the Fourth Proportional to 52,469.90, 72,406.34 and 28,596.05

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Solution

The fourth proportional to 52,469.90, 72,406.34 and 28,596.05 is: 39,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,469.90 : 72,406.34 = 28,596.05 : x
  2. Step 2: Convert to fraction form
    52,469.90/72,406.34 = 28,596.05/x
  3. Step 3: Cross multiply
    52,469.90x = 72,406.34 × 28,596.05
  4. Step 4: Simplify right side
    52,469.90x = 2,070,535,175.98
  5. Step 5: Solve for x
    x = 2,070,535,175.98/52,469.90
  6. Step 6: Final answer
    x = 39,461.39

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Why These Related Problems?

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