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Finding the Fourth Proportional to 84,931.38, 117,202.44 and 47,204.82

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Solution

The fourth proportional to 84,931.38, 117,202.44 and 47,204.82 is: 65,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,931.38 : 117,202.44 = 47,204.82 : x
  2. Step 2: Convert to fraction form
    84,931.38/117,202.44 = 47,204.82/x
  3. Step 3: Cross multiply
    84,931.38x = 117,202.44 × 47,204.82
  4. Step 4: Simplify right side
    84,931.38x = 5,532,520,083.76
  5. Step 5: Solve for x
    x = 5,532,520,083.76/84,931.38
  6. Step 6: Final answer
    x = 65,141.06

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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.