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Finding the Fourth Proportional to 84,273, 116,296.74 and 46,549.68

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Solution

The fourth proportional to 84,273, 116,296.74 and 46,549.68 is: 64,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,273 : 116,296.74 = 46,549.68 : x
  2. Step 2: Convert to fraction form
    84,273/116,296.74 = 46,549.68/x
  3. Step 3: Cross multiply
    84,273x = 116,296.74 × 46,549.68
  4. Step 4: Simplify right side
    84,273x = 5,413,576,032.04
  5. Step 5: Solve for x
    x = 5,413,576,032.04/84,273
  6. Step 6: Final answer
    x = 64,238.56

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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.