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Finding the Fourth Proportional to 97,095.78, 133,992.21 and 56,817.29

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Solution

The fourth proportional to 97,095.78, 133,992.21 and 56,817.29 is: 78,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,095.78 : 133,992.21 = 56,817.29 : x
  2. Step 2: Convert to fraction form
    97,095.78/133,992.21 = 56,817.29/x
  3. Step 3: Cross multiply
    97,095.78x = 133,992.21 × 56,817.29
  4. Step 4: Simplify right side
    97,095.78x = 7,613,073,583.35
  5. Step 5: Solve for x
    x = 7,613,073,583.35/97,095.78
  6. Step 6: Final answer
    x = 78,407.87

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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.