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Finding the Fourth Proportional to 83,512.41, 115,251.84 and 49,541.01

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Solution

The fourth proportional to 83,512.41, 115,251.84 and 49,541.01 is: 68,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,512.41 : 115,251.84 = 49,541.01 : x
  2. Step 2: Convert to fraction form
    83,512.41/115,251.84 = 49,541.01/x
  3. Step 3: Cross multiply
    83,512.41x = 115,251.84 × 49,541.01
  4. Step 4: Simplify right side
    83,512.41x = 5,709,692,557.96
  5. Step 5: Solve for x
    x = 5,709,692,557.96/83,512.41
  6. Step 6: Final answer
    x = 68,369.39

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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.