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Finding the Fourth Proportional to 82,395.08, 123,602.22 and 29,829.32

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Solution

The fourth proportional to 82,395.08, 123,602.22 and 29,829.32 is: 44,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,395.08 : 123,602.22 = 29,829.32 : x
  2. Step 2: Convert to fraction form
    82,395.08/123,602.22 = 29,829.32/x
  3. Step 3: Cross multiply
    82,395.08x = 123,602.22 × 29,829.32
  4. Step 4: Simplify right side
    82,395.08x = 3,686,970,173.09
  5. Step 5: Solve for x
    x = 3,686,970,173.09/82,395.08
  6. Step 6: Final answer
    x = 44,747.46

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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.