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Finding the Fourth Proportional to 84,271.76, 116,295.74 and 46,546.64

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Solution

The fourth proportional to 84,271.76, 116,295.74 and 46,546.64 is: 64,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,271.76 : 116,295.74 = 46,546.64 : x
  2. Step 2: Convert to fraction form
    84,271.76/116,295.74 = 46,546.64/x
  3. Step 3: Cross multiply
    84,271.76x = 116,295.74 × 46,546.64
  4. Step 4: Simplify right side
    84,271.76x = 5,413,175,943.31
  5. Step 5: Solve for x
    x = 5,413,175,943.31/84,271.76
  6. Step 6: Final answer
    x = 64,234.76

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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.