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Finding the Fourth Proportional to 84,473.42, 116,573.46 and 46,747.67

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Solution

The fourth proportional to 84,473.42, 116,573.46 and 46,747.67 is: 64,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,473.42 : 116,573.46 = 46,747.67 : x
  2. Step 2: Convert to fraction form
    84,473.42/116,573.46 = 46,747.67/x
  3. Step 3: Cross multiply
    84,473.42x = 116,573.46 × 46,747.67
  4. Step 4: Simplify right side
    84,473.42x = 5,449,537,638.84
  5. Step 5: Solve for x
    x = 5,449,537,638.84/84,473.42
  6. Step 6: Final answer
    x = 64,511.86

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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.