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Finding the Fourth Proportional to 68,227.84, 102,437.40 and 34,971.76

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Solution

The fourth proportional to 68,227.84, 102,437.40 and 34,971.76 is: 52,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,227.84 : 102,437.40 = 34,971.76 : x
  2. Step 2: Convert to fraction form
    68,227.84/102,437.40 = 34,971.76/x
  3. Step 3: Cross multiply
    68,227.84x = 102,437.40 × 34,971.76
  4. Step 4: Simplify right side
    68,227.84x = 3,582,416,167.82
  5. Step 5: Solve for x
    x = 3,582,416,167.82/68,227.84
  6. Step 6: Final answer
    x = 52,506.66

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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.