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Finding the Fourth Proportional to 82,516.70, 123,801.66 and 38,172.50

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Solution

The fourth proportional to 82,516.70, 123,801.66 and 38,172.50 is: 57,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,516.70 : 123,801.66 = 38,172.50 : x
  2. Step 2: Convert to fraction form
    82,516.70/123,801.66 = 38,172.50/x
  3. Step 3: Cross multiply
    82,516.70x = 123,801.66 × 38,172.50
  4. Step 4: Simplify right side
    82,516.70x = 4,725,818,866.35
  5. Step 5: Solve for x
    x = 4,725,818,866.35/82,516.70
  6. Step 6: Final answer
    x = 57,271.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.