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Finding the Fourth Proportional to 84,366.18, 116,420.76 and 46,638

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Solution

The fourth proportional to 84,366.18, 116,420.76 and 46,638 is: 64,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,366.18 : 116,420.76 = 46,638 : x
  2. Step 2: Convert to fraction form
    84,366.18/116,420.76 = 46,638/x
  3. Step 3: Cross multiply
    84,366.18x = 116,420.76 × 46,638
  4. Step 4: Simplify right side
    84,366.18x = 5,429,631,404.88
  5. Step 5: Solve for x
    x = 5,429,631,404.88/84,366.18
  6. Step 6: Final answer
    x = 64,357.91

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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.