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Finding the Fourth Proportional to 84,016.50, 115,943.13 and 46,289.94

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Solution

The fourth proportional to 84,016.50, 115,943.13 and 46,289.94 is: 63,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,016.50 : 115,943.13 = 46,289.94 : x
  2. Step 2: Convert to fraction form
    84,016.50/115,943.13 = 46,289.94/x
  3. Step 3: Cross multiply
    84,016.50x = 115,943.13 × 46,289.94
  4. Step 4: Simplify right side
    84,016.50x = 5,367,000,531.11
  5. Step 5: Solve for x
    x = 5,367,000,531.11/84,016.50
  6. Step 6: Final answer
    x = 63,880.32

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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.