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Finding the Fourth Proportional to 83,283.50, 114,986.67 and 49,302.92

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Solution

The fourth proportional to 83,283.50, 114,986.67 and 49,302.92 is: 68,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.50 : 114,986.67 = 49,302.92 : x
  2. Step 2: Convert to fraction form
    83,283.50/114,986.67 = 49,302.92/x
  3. Step 3: Cross multiply
    83,283.50x = 114,986.67 × 49,302.92
  4. Step 4: Simplify right side
    83,283.50x = 5,669,178,592.08
  5. Step 5: Solve for x
    x = 5,669,178,592.08/83,283.50
  6. Step 6: Final answer
    x = 68,070.85

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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.