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Finding the Fourth Proportional to 85,455.84, 117,911.07 and 49,627.38

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Solution

The fourth proportional to 85,455.84, 117,911.07 and 49,627.38 is: 68,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,455.84 : 117,911.07 = 49,627.38 : x
  2. Step 2: Convert to fraction form
    85,455.84/117,911.07 = 49,627.38/x
  3. Step 3: Cross multiply
    85,455.84x = 117,911.07 × 49,627.38
  4. Step 4: Simplify right side
    85,455.84x = 5,851,617,477.10
  5. Step 5: Solve for x
    x = 5,851,617,477.10/85,455.84
  6. Step 6: Final answer
    x = 68,475.34

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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.