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Finding the Fourth Proportional to 84,398.76, 116,472.33 and 46,161.90

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Solution

The fourth proportional to 84,398.76, 116,472.33 and 46,161.90 is: 63,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,398.76 : 116,472.33 = 46,161.90 : x
  2. Step 2: Convert to fraction form
    84,398.76/116,472.33 = 46,161.90/x
  3. Step 3: Cross multiply
    84,398.76x = 116,472.33 × 46,161.90
  4. Step 4: Simplify right side
    84,398.76x = 5,376,584,050.23
  5. Step 5: Solve for x
    x = 5,376,584,050.23/84,398.76
  6. Step 6: Final answer
    x = 63,704.54

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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.