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Finding the Fourth Proportional to 83,492.75, 115,220.40 and 49,958.75

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Solution

The fourth proportional to 83,492.75, 115,220.40 and 49,958.75 is: 68,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,492.75 : 115,220.40 = 49,958.75 : x
  2. Step 2: Convert to fraction form
    83,492.75/115,220.40 = 49,958.75/x
  3. Step 3: Cross multiply
    83,492.75x = 115,220.40 × 49,958.75
  4. Step 4: Simplify right side
    83,492.75x = 5,756,267,158.50
  5. Step 5: Solve for x
    x = 5,756,267,158.50/83,492.75
  6. Step 6: Final answer
    x = 68,943.32

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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.