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Finding the Fourth Proportional to 83,583.36, 115,399.08 and 51,786

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Solution

The fourth proportional to 83,583.36, 115,399.08 and 51,786 is: 71,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583.36 : 115,399.08 = 51,786 : x
  2. Step 2: Convert to fraction form
    83,583.36/115,399.08 = 51,786/x
  3. Step 3: Cross multiply
    83,583.36x = 115,399.08 × 51,786
  4. Step 4: Simplify right side
    83,583.36x = 5,976,056,756.88
  5. Step 5: Solve for x
    x = 5,976,056,756.88/83,583.36
  6. Step 6: Final answer
    x = 71,498.16

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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.