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Finding the Fourth Proportional to 82,509.68, 123,777.50 and 32,590.03

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Solution

The fourth proportional to 82,509.68, 123,777.50 and 32,590.03 is: 48,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.68 : 123,777.50 = 32,590.03 : x
  2. Step 2: Convert to fraction form
    82,509.68/123,777.50 = 32,590.03/x
  3. Step 3: Cross multiply
    82,509.68x = 123,777.50 × 32,590.03
  4. Step 4: Simplify right side
    82,509.68x = 4,033,912,438.33
  5. Step 5: Solve for x
    x = 4,033,912,438.33/82,509.68
  6. Step 6: Final answer
    x = 48,890.17

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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.