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Finding the Fourth Proportional to 82,357.70, 123,500.10 and 37,961.60

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Solution

The fourth proportional to 82,357.70, 123,500.10 and 37,961.60 is: 56,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,357.70 : 123,500.10 = 37,961.60 : x
  2. Step 2: Convert to fraction form
    82,357.70/123,500.10 = 37,961.60/x
  3. Step 3: Cross multiply
    82,357.70x = 123,500.10 × 37,961.60
  4. Step 4: Simplify right side
    82,357.70x = 4,688,261,396.16
  5. Step 5: Solve for x
    x = 4,688,261,396.16/82,357.70
  6. Step 6: Final answer
    x = 56,925.60

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Why These Related Problems?

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