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Finding the Fourth Proportional to 84,145.56, 116,112.79 and 46,417.38

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Solution

The fourth proportional to 84,145.56, 116,112.79 and 46,417.38 is: 64,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,145.56 : 116,112.79 = 46,417.38 : x
  2. Step 2: Convert to fraction form
    84,145.56/116,112.79 = 46,417.38/x
  3. Step 3: Cross multiply
    84,145.56x = 116,112.79 × 46,417.38
  4. Step 4: Simplify right side
    84,145.56x = 5,389,651,496.29
  5. Step 5: Solve for x
    x = 5,389,651,496.29/84,145.56
  6. Step 6: Final answer
    x = 64,051.53

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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.