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Finding the Fourth Proportional to 84,367.24, 116,421.79 and 46,639.24

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Solution

The fourth proportional to 84,367.24, 116,421.79 and 46,639.24 is: 64,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,367.24 : 116,421.79 = 46,639.24 : x
  2. Step 2: Convert to fraction form
    84,367.24/116,421.79 = 46,639.24/x
  3. Step 3: Cross multiply
    84,367.24x = 116,421.79 × 46,639.24
  4. Step 4: Simplify right side
    84,367.24x = 5,429,822,989.73
  5. Step 5: Solve for x
    x = 5,429,822,989.73/84,367.24
  6. Step 6: Final answer
    x = 64,359.38

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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.