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Finding the Fourth Proportional to 74,056.80, 102,197.96 and 68,032

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Solution

The fourth proportional to 74,056.80, 102,197.96 and 68,032 is: 93,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,056.80 : 102,197.96 = 68,032 : x
  2. Step 2: Convert to fraction form
    74,056.80/102,197.96 = 68,032/x
  3. Step 3: Cross multiply
    74,056.80x = 102,197.96 × 68,032
  4. Step 4: Simplify right side
    74,056.80x = 6,952,731,614.72
  5. Step 5: Solve for x
    x = 6,952,731,614.72/74,056.80
  6. Step 6: Final answer
    x = 93,883.77

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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.