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Finding the Fourth Proportional to 82,791.80, 114,262.40 and 46,499.20

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Solution

The fourth proportional to 82,791.80, 114,262.40 and 46,499.20 is: 64,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,791.80 : 114,262.40 = 46,499.20 : x
  2. Step 2: Convert to fraction form
    82,791.80/114,262.40 = 46,499.20/x
  3. Step 3: Cross multiply
    82,791.80x = 114,262.40 × 46,499.20
  4. Step 4: Simplify right side
    82,791.80x = 5,313,110,190.08
  5. Step 5: Solve for x
    x = 5,313,110,190.08/82,791.80
  6. Step 6: Final answer
    x = 64,174.35

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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.