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Finding the Fourth Proportional to 84,098.98, 116,057.46 and 46,374.58

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Solution

The fourth proportional to 84,098.98, 116,057.46 and 46,374.58 is: 63,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,098.98 : 116,057.46 = 46,374.58 : x
  2. Step 2: Convert to fraction form
    84,098.98/116,057.46 = 46,374.58/x
  3. Step 3: Cross multiply
    84,098.98x = 116,057.46 × 46,374.58
  4. Step 4: Simplify right side
    84,098.98x = 5,382,115,963.37
  5. Step 5: Solve for x
    x = 5,382,115,963.37/84,098.98
  6. Step 6: Final answer
    x = 63,997.40

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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.