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Finding the Fourth Proportional to 82,710.74, 123,505.87 and 65,652.37

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Solution

The fourth proportional to 82,710.74, 123,505.87 and 65,652.37 is: 98,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,710.74 : 123,505.87 = 65,652.37 : x
  2. Step 2: Convert to fraction form
    82,710.74/123,505.87 = 65,652.37/x
  3. Step 3: Cross multiply
    82,710.74x = 123,505.87 × 65,652.37
  4. Step 4: Simplify right side
    82,710.74x = 8,108,453,074.41
  5. Step 5: Solve for x
    x = 8,108,453,074.41/82,710.74
  6. Step 6: Final answer
    x = 98,033.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.