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Finding the Fourth Proportional to 82,005.84, 122,950.44 and 39,262.32

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Solution

The fourth proportional to 82,005.84, 122,950.44 and 39,262.32 is: 58,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,005.84 : 122,950.44 = 39,262.32 : x
  2. Step 2: Convert to fraction form
    82,005.84/122,950.44 = 39,262.32/x
  3. Step 3: Cross multiply
    82,005.84x = 122,950.44 × 39,262.32
  4. Step 4: Simplify right side
    82,005.84x = 4,827,319,519.42
  5. Step 5: Solve for x
    x = 4,827,319,519.42/82,005.84
  6. Step 6: Final answer
    x = 58,865.56

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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.