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Finding the Fourth Proportional to 83,323.87, 114,954.80 and 57,817.46

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Solution

The fourth proportional to 83,323.87, 114,954.80 and 57,817.46 is: 79,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,323.87 : 114,954.80 = 57,817.46 : x
  2. Step 2: Convert to fraction form
    83,323.87/114,954.80 = 57,817.46/x
  3. Step 3: Cross multiply
    83,323.87x = 114,954.80 × 57,817.46
  4. Step 4: Simplify right side
    83,323.87x = 6,646,394,549.11
  5. Step 5: Solve for x
    x = 6,646,394,549.11/83,323.87
  6. Step 6: Final answer
    x = 79,765.80

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1.5x scale

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.