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Finding the Fourth Proportional to 84,172, 116,159.79 and 46,448.68

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Solution

The fourth proportional to 84,172, 116,159.79 and 46,448.68 is: 64,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,172 : 116,159.79 = 46,448.68 : x
  2. Step 2: Convert to fraction form
    84,172/116,159.79 = 46,448.68/x
  3. Step 3: Cross multiply
    84,172x = 116,159.79 × 46,448.68
  4. Step 4: Simplify right side
    84,172x = 5,395,468,914.58
  5. Step 5: Solve for x
    x = 5,395,468,914.58/84,172
  6. Step 6: Final answer
    x = 64,100.52

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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.