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Finding the Fourth Proportional to 84,951.72, 117,233.45 and 46,711.90

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Solution

The fourth proportional to 84,951.72, 117,233.45 and 46,711.90 is: 64,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,951.72 : 117,233.45 = 46,711.90 : x
  2. Step 2: Convert to fraction form
    84,951.72/117,233.45 = 46,711.90/x
  3. Step 3: Cross multiply
    84,951.72x = 117,233.45 × 46,711.90
  4. Step 4: Simplify right side
    84,951.72x = 5,476,197,193.06
  5. Step 5: Solve for x
    x = 5,476,197,193.06/84,951.72
  6. Step 6: Final answer
    x = 64,462.46

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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.