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Finding the Fourth Proportional to 52,450.61, 72,380.92 and 28,577.45

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Solution

The fourth proportional to 52,450.61, 72,380.92 and 28,577.45 is: 39,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,450.61 : 72,380.92 = 28,577.45 : x
  2. Step 2: Convert to fraction form
    52,450.61/72,380.92 = 28,577.45/x
  3. Step 3: Cross multiply
    52,450.61x = 72,380.92 × 28,577.45
  4. Step 4: Simplify right side
    52,450.61x = 2,068,462,122.25
  5. Step 5: Solve for x
    x = 2,068,462,122.25/52,450.61
  6. Step 6: Final answer
    x = 39,436.38

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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.