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Finding the Fourth Proportional to 68,548.23, 102,715.56 and 32,971.14

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Solution

The fourth proportional to 68,548.23, 102,715.56 and 32,971.14 is: 49,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,548.23 : 102,715.56 = 32,971.14 : x
  2. Step 2: Convert to fraction form
    68,548.23/102,715.56 = 32,971.14/x
  3. Step 3: Cross multiply
    68,548.23x = 102,715.56 × 32,971.14
  4. Step 4: Simplify right side
    68,548.23x = 3,386,649,108.94
  5. Step 5: Solve for x
    x = 3,386,649,108.94/68,548.23
  6. Step 6: Final answer
    x = 49,405.35

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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.