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Finding the Fourth Proportional to 84,562.25, 116,691.36 and 46,319.81

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Solution

The fourth proportional to 84,562.25, 116,691.36 and 46,319.81 is: 63,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,562.25 : 116,691.36 = 46,319.81 : x
  2. Step 2: Convert to fraction form
    84,562.25/116,691.36 = 46,319.81/x
  3. Step 3: Cross multiply
    84,562.25x = 116,691.36 × 46,319.81
  4. Step 4: Simplify right side
    84,562.25x = 5,405,121,040.38
  5. Step 5: Solve for x
    x = 5,405,121,040.38/84,562.25
  6. Step 6: Final answer
    x = 63,918.85

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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.