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Finding the Fourth Proportional to 65,178.78, 97,693.29 and 27,683.34

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Solution

The fourth proportional to 65,178.78, 97,693.29 and 27,683.34 is: 41,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,178.78 : 97,693.29 = 27,683.34 : x
  2. Step 2: Convert to fraction form
    65,178.78/97,693.29 = 27,683.34/x
  3. Step 3: Cross multiply
    65,178.78x = 97,693.29 × 27,683.34
  4. Step 4: Simplify right side
    65,178.78x = 2,704,476,562.79
  5. Step 5: Solve for x
    x = 2,704,476,562.79/65,178.78
  6. Step 6: Final answer
    x = 41,493.21

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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.