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Finding the Fourth Proportional to 97,391.57, 146,099.90 and 34,207.11

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Solution

The fourth proportional to 97,391.57, 146,099.90 and 34,207.11 is: 51,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,391.57 : 146,099.90 = 34,207.11 : x
  2. Step 2: Convert to fraction form
    97,391.57/146,099.90 = 34,207.11/x
  3. Step 3: Cross multiply
    97,391.57x = 146,099.90 × 34,207.11
  4. Step 4: Simplify right side
    97,391.57x = 4,997,655,435.81
  5. Step 5: Solve for x
    x = 4,997,655,435.81/97,391.57
  6. Step 6: Final answer
    x = 51,315.07

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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.