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Finding the Fourth Proportional to 84,367.18, 116,422.14 and 46,639

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Solution

The fourth proportional to 84,367.18, 116,422.14 and 46,639 is: 64,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,367.18 : 116,422.14 = 46,639 : x
  2. Step 2: Convert to fraction form
    84,367.18/116,422.14 = 46,639/x
  3. Step 3: Cross multiply
    84,367.18x = 116,422.14 × 46,639
  4. Step 4: Simplify right side
    84,367.18x = 5,429,812,187.46
  5. Step 5: Solve for x
    x = 5,429,812,187.46/84,367.18
  6. Step 6: Final answer
    x = 64,359.29

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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.