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Finding the Fourth Proportional to 98,006.94, 135,191.84 and 61,650.44

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Solution

The fourth proportional to 98,006.94, 135,191.84 and 61,650.44 is: 85,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,006.94 : 135,191.84 = 61,650.44 : x
  2. Step 2: Convert to fraction form
    98,006.94/135,191.84 = 61,650.44/x
  3. Step 3: Cross multiply
    98,006.94x = 135,191.84 × 61,650.44
  4. Step 4: Simplify right side
    98,006.94x = 8,334,636,420.41
  5. Step 5: Solve for x
    x = 8,334,636,420.41/98,006.94
  6. Step 6: Final answer
    x = 85,041.29

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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.