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Finding the Fourth Proportional to 114,782.92, 172,184.28 and 31,676.92

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Solution

The fourth proportional to 114,782.92, 172,184.28 and 31,676.92 is: 47,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,782.92 : 172,184.28 = 31,676.92 : x
  2. Step 2: Convert to fraction form
    114,782.92/172,184.28 = 31,676.92/x
  3. Step 3: Cross multiply
    114,782.92x = 172,184.28 × 31,676.92
  4. Step 4: Simplify right side
    114,782.92x = 5,454,267,662.82
  5. Step 5: Solve for x
    x = 5,454,267,662.82/114,782.92
  6. Step 6: Final answer
    x = 47,518.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.