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Finding the Fourth Proportional to 84,315.52, 116,355.18 and 46,589.50

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Solution

The fourth proportional to 84,315.52, 116,355.18 and 46,589.50 is: 64,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,315.52 : 116,355.18 = 46,589.50 : x
  2. Step 2: Convert to fraction form
    84,315.52/116,355.18 = 46,589.50/x
  3. Step 3: Cross multiply
    84,315.52x = 116,355.18 × 46,589.50
  4. Step 4: Simplify right side
    84,315.52x = 5,420,929,658.61
  5. Step 5: Solve for x
    x = 5,420,929,658.61/84,315.52
  6. Step 6: Final answer
    x = 64,293.38

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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.