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Finding the Fourth Proportional to 84,467.10, 116,563.11 and 48,657

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Solution

The fourth proportional to 84,467.10, 116,563.11 and 48,657 is: 67,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,467.10 : 116,563.11 = 48,657 : x
  2. Step 2: Convert to fraction form
    84,467.10/116,563.11 = 48,657/x
  3. Step 3: Cross multiply
    84,467.10x = 116,563.11 × 48,657
  4. Step 4: Simplify right side
    84,467.10x = 5,671,611,243.27
  5. Step 5: Solve for x
    x = 5,671,611,243.27/84,467.10
  6. Step 6: Final answer
    x = 67,145.80

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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.