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Finding the Fourth Proportional to 84,184.95, 116,175.87 and 45,944.79

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Solution

The fourth proportional to 84,184.95, 116,175.87 and 45,944.79 is: 63,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,184.95 : 116,175.87 = 45,944.79 : x
  2. Step 2: Convert to fraction form
    84,184.95/116,175.87 = 45,944.79/x
  3. Step 3: Cross multiply
    84,184.95x = 116,175.87 × 45,944.79
  4. Step 4: Simplify right side
    84,184.95x = 5,337,675,950.22
  5. Step 5: Solve for x
    x = 5,337,675,950.22/84,184.95
  6. Step 6: Final answer
    x = 63,404.16

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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.