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Finding the Fourth Proportional to 82,480.50, 113,916.34 and 55,576.34

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Solution

The fourth proportional to 82,480.50, 113,916.34 and 55,576.34 is: 76,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,480.50 : 113,916.34 = 55,576.34 : x
  2. Step 2: Convert to fraction form
    82,480.50/113,916.34 = 55,576.34/x
  3. Step 3: Cross multiply
    82,480.50x = 113,916.34 × 55,576.34
  4. Step 4: Simplify right side
    82,480.50x = 6,331,053,243.40
  5. Step 5: Solve for x
    x = 6,331,053,243.40/82,480.50
  6. Step 6: Final answer
    x = 76,758.18

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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.