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Finding the Fourth Proportional to 84,516.65, 116,629.37 and 46,275.50

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Solution

The fourth proportional to 84,516.65, 116,629.37 and 46,275.50 is: 63,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,516.65 : 116,629.37 = 46,275.50 : x
  2. Step 2: Convert to fraction form
    84,516.65/116,629.37 = 46,275.50/x
  3. Step 3: Cross multiply
    84,516.65x = 116,629.37 × 46,275.50
  4. Step 4: Simplify right side
    84,516.65x = 5,397,082,645.16
  5. Step 5: Solve for x
    x = 5,397,082,645.16/84,516.65
  6. Step 6: Final answer
    x = 63,858.22

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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.