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Finding the Fourth Proportional to 85,107.28, 117,448.02 and 47,380.72

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Solution

The fourth proportional to 85,107.28, 117,448.02 and 47,380.72 is: 65,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,107.28 : 117,448.02 = 47,380.72 : x
  2. Step 2: Convert to fraction form
    85,107.28/117,448.02 = 47,380.72/x
  3. Step 3: Cross multiply
    85,107.28x = 117,448.02 × 47,380.72
  4. Step 4: Simplify right side
    85,107.28x = 5,564,771,750.17
  5. Step 5: Solve for x
    x = 5,564,771,750.17/85,107.28
  6. Step 6: Final answer
    x = 65,385.38

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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.