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Finding the Fourth Proportional to 84,277.72, 116,297.34 and 46,549

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Solution

The fourth proportional to 84,277.72, 116,297.34 and 46,549 is: 64,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,277.72 : 116,297.34 = 46,549 : x
  2. Step 2: Convert to fraction form
    84,277.72/116,297.34 = 46,549/x
  3. Step 3: Cross multiply
    84,277.72x = 116,297.34 × 46,549
  4. Step 4: Simplify right side
    84,277.72x = 5,413,524,879.66
  5. Step 5: Solve for x
    x = 5,413,524,879.66/84,277.72
  6. Step 6: Final answer
    x = 64,234.35

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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.