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Finding the Fourth Proportional to 82,649.52, 123,971.04 and 35,245.08

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Solution

The fourth proportional to 82,649.52, 123,971.04 and 35,245.08 is: 52,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,649.52 : 123,971.04 = 35,245.08 : x
  2. Step 2: Convert to fraction form
    82,649.52/123,971.04 = 35,245.08/x
  3. Step 3: Cross multiply
    82,649.52x = 123,971.04 × 35,245.08
  4. Step 4: Simplify right side
    82,649.52x = 4,369,369,222.48
  5. Step 5: Solve for x
    x = 4,369,369,222.48/82,649.52
  6. Step 6: Final answer
    x = 52,866.24

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