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Finding the Fourth Proportional to 68,226.84, 102,435.90 and 34,970.76

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Solution

The fourth proportional to 68,226.84, 102,435.90 and 34,970.76 is: 52,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,226.84 : 102,435.90 = 34,970.76 : x
  2. Step 2: Convert to fraction form
    68,226.84/102,435.90 = 34,970.76/x
  3. Step 3: Cross multiply
    68,226.84x = 102,435.90 × 34,970.76
  4. Step 4: Simplify right side
    68,226.84x = 3,582,261,274.28
  5. Step 5: Solve for x
    x = 3,582,261,274.28/68,226.84
  6. Step 6: Final answer
    x = 52,505.16

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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.