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Finding the Fourth Proportional to 84,415.98, 116,489.28 and 46,167.91

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Solution

The fourth proportional to 84,415.98, 116,489.28 and 46,167.91 is: 63,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,415.98 : 116,489.28 = 46,167.91 : x
  2. Step 2: Convert to fraction form
    84,415.98/116,489.28 = 46,167.91/x
  3. Step 3: Cross multiply
    84,415.98x = 116,489.28 × 46,167.91
  4. Step 4: Simplify right side
    84,415.98x = 5,378,066,595.00
  5. Step 5: Solve for x
    x = 5,378,066,595.00/84,415.98
  6. Step 6: Final answer
    x = 63,709.11

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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.