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Finding the Fourth Proportional to 84,084, 116,036.72 and 46,359.60

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Solution

The fourth proportional to 84,084, 116,036.72 and 46,359.60 is: 63,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,084 : 116,036.72 = 46,359.60 : x
  2. Step 2: Convert to fraction form
    84,084/116,036.72 = 46,359.60/x
  3. Step 3: Cross multiply
    84,084x = 116,036.72 × 46,359.60
  4. Step 4: Simplify right side
    84,084x = 5,379,415,924.51
  5. Step 5: Solve for x
    x = 5,379,415,924.51/84,084
  6. Step 6: Final answer
    x = 63,976.69

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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.