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Finding the Fourth Proportional to 83,283.75, 114,933.42 and 45,558

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Solution

The fourth proportional to 83,283.75, 114,933.42 and 45,558 is: 62,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.75 : 114,933.42 = 45,558 : x
  2. Step 2: Convert to fraction form
    83,283.75/114,933.42 = 45,558/x
  3. Step 3: Cross multiply
    83,283.75x = 114,933.42 × 45,558
  4. Step 4: Simplify right side
    83,283.75x = 5,236,136,748.36
  5. Step 5: Solve for x
    x = 5,236,136,748.36/83,283.75
  6. Step 6: Final answer
    x = 62,871.05

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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.