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Finding the Fourth Proportional to 98,524.89, 135,964.50 and 56,083.41

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Solution

The fourth proportional to 98,524.89, 135,964.50 and 56,083.41 is: 77,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,524.89 : 135,964.50 = 56,083.41 : x
  2. Step 2: Convert to fraction form
    98,524.89/135,964.50 = 56,083.41/x
  3. Step 3: Cross multiply
    98,524.89x = 135,964.50 × 56,083.41
  4. Step 4: Simplify right side
    98,524.89x = 7,625,352,798.95
  5. Step 5: Solve for x
    x = 7,625,352,798.95/98,524.89
  6. Step 6: Final answer
    x = 77,395.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.