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Finding the Fourth Proportional to 82,505.36, 123,536.30 and 52,356.36

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Solution

The fourth proportional to 82,505.36, 123,536.30 and 52,356.36 is: 78,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,505.36 : 123,536.30 = 52,356.36 : x
  2. Step 2: Convert to fraction form
    82,505.36/123,536.30 = 52,356.36/x
  3. Step 3: Cross multiply
    82,505.36x = 123,536.30 × 52,356.36
  4. Step 4: Simplify right side
    82,505.36x = 6,467,911,391.76
  5. Step 5: Solve for x
    x = 6,467,911,391.76/82,505.36
  6. Step 6: Final answer
    x = 78,393.84

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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.