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Finding the Fourth Proportional to 68,106.38, 102,070.82 and 34,798.38

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Solution

The fourth proportional to 68,106.38, 102,070.82 and 34,798.38 is: 52,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,106.38 : 102,070.82 = 34,798.38 : x
  2. Step 2: Convert to fraction form
    68,106.38/102,070.82 = 34,798.38/x
  3. Step 3: Cross multiply
    68,106.38x = 102,070.82 × 34,798.38
  4. Step 4: Simplify right side
    68,106.38x = 3,551,899,181.27
  5. Step 5: Solve for x
    x = 3,551,899,181.27/68,106.38
  6. Step 6: Final answer
    x = 52,152.22

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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.