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Finding the Fourth Proportional to 83,205.82, 114,824.90 and 45,480.08

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Solution

The fourth proportional to 83,205.82, 114,824.90 and 45,480.08 is: 62,762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,205.82 : 114,824.90 = 45,480.08 : x
  2. Step 2: Convert to fraction form
    83,205.82/114,824.90 = 45,480.08/x
  3. Step 3: Cross multiply
    83,205.82x = 114,824.90 × 45,480.08
  4. Step 4: Simplify right side
    83,205.82x = 5,222,245,637.99
  5. Step 5: Solve for x
    x = 5,222,245,637.99/83,205.82
  6. Step 6: Final answer
    x = 62,762.99

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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.