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Finding the Fourth Proportional to 84,406.50, 126,415.89 and 42,156.90

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Solution

The fourth proportional to 84,406.50, 126,415.89 and 42,156.90 is: 63,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,406.50 : 126,415.89 = 42,156.90 : x
  2. Step 2: Convert to fraction form
    84,406.50/126,415.89 = 42,156.90/x
  3. Step 3: Cross multiply
    84,406.50x = 126,415.89 × 42,156.90
  4. Step 4: Simplify right side
    84,406.50x = 5,329,302,033.14
  5. Step 5: Solve for x
    x = 5,329,302,033.14/84,406.50
  6. Step 6: Final answer
    x = 63,138.53

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