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Finding the Fourth Proportional to 30,907.86, 42,658.90 and 20,166.05

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Solution

The fourth proportional to 30,907.86, 42,658.90 and 20,166.05 is: 27,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.86 : 42,658.90 = 20,166.05 : x
  2. Step 2: Convert to fraction form
    30,907.86/42,658.90 = 20,166.05/x
  3. Step 3: Cross multiply
    30,907.86x = 42,658.90 × 20,166.05
  4. Step 4: Simplify right side
    30,907.86x = 860,261,510.35
  5. Step 5: Solve for x
    x = 860,261,510.35/30,907.86
  6. Step 6: Final answer
    x = 27,833.10

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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.