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Finding the Fourth Proportional to 85,469.34, 117,898.40 and 51,454.20

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Solution

The fourth proportional to 85,469.34, 117,898.40 and 51,454.20 is: 70,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,469.34 : 117,898.40 = 51,454.20 : x
  2. Step 2: Convert to fraction form
    85,469.34/117,898.40 = 51,454.20/x
  3. Step 3: Cross multiply
    85,469.34x = 117,898.40 × 51,454.20
  4. Step 4: Simplify right side
    85,469.34x = 6,066,367,853.28
  5. Step 5: Solve for x
    x = 6,066,367,853.28/85,469.34
  6. Step 6: Final answer
    x = 70,977.12

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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.