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Finding the Fourth Proportional to 84,184.74, 116,174.70 and 46,458.72

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Solution

The fourth proportional to 84,184.74, 116,174.70 and 46,458.72 is: 64,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,184.74 : 116,174.70 = 46,458.72 : x
  2. Step 2: Convert to fraction form
    84,184.74/116,174.70 = 46,458.72/x
  3. Step 3: Cross multiply
    84,184.74x = 116,174.70 × 46,458.72
  4. Step 4: Simplify right side
    84,184.74x = 5,397,327,858.38
  5. Step 5: Solve for x
    x = 5,397,327,858.38/84,184.74
  6. Step 6: Final answer
    x = 64,112.90

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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.