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Finding the Fourth Proportional to 84,063, 116,006.94 and 46,338.06

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Solution

The fourth proportional to 84,063, 116,006.94 and 46,338.06 is: 63,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,063 : 116,006.94 = 46,338.06 : x
  2. Step 2: Convert to fraction form
    84,063/116,006.94 = 46,338.06/x
  3. Step 3: Cross multiply
    84,063x = 116,006.94 × 46,338.06
  4. Step 4: Simplify right side
    84,063x = 5,375,536,546.14
  5. Step 5: Solve for x
    x = 5,375,536,546.14/84,063
  6. Step 6: Final answer
    x = 63,946.52

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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.