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Finding the Fourth Proportional to 84,082, 116,033.96 and 46,357.60

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Solution

The fourth proportional to 84,082, 116,033.96 and 46,357.60 is: 63,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,082 : 116,033.96 = 46,357.60 : x
  2. Step 2: Convert to fraction form
    84,082/116,033.96 = 46,357.60/x
  3. Step 3: Cross multiply
    84,082x = 116,033.96 × 46,357.60
  4. Step 4: Simplify right side
    84,082x = 5,379,055,904.10
  5. Step 5: Solve for x
    x = 5,379,055,904.10/84,082
  6. Step 6: Final answer
    x = 63,973.93

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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.