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Finding the Fourth Proportional to 83,616, 115,390.26 and 45,890.16

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Solution

The fourth proportional to 83,616, 115,390.26 and 45,890.16 is: 63,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,616 : 115,390.26 = 45,890.16 : x
  2. Step 2: Convert to fraction form
    83,616/115,390.26 = 45,890.16/x
  3. Step 3: Cross multiply
    83,616x = 115,390.26 × 45,890.16
  4. Step 4: Simplify right side
    83,616x = 5,295,277,493.84
  5. Step 5: Solve for x
    x = 5,295,277,493.84/83,616
  6. Step 6: Final answer
    x = 63,328.52

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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.