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Finding the Fourth Proportional to 97,231.40, 145,847.10 and 41,827.40

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Solution

The fourth proportional to 97,231.40, 145,847.10 and 41,827.40 is: 62,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,231.40 : 145,847.10 = 41,827.40 : x
  2. Step 2: Convert to fraction form
    97,231.40/145,847.10 = 41,827.40/x
  3. Step 3: Cross multiply
    97,231.40x = 145,847.10 × 41,827.40
  4. Step 4: Simplify right side
    97,231.40x = 6,100,404,990.54
  5. Step 5: Solve for x
    x = 6,100,404,990.54/97,231.40
  6. Step 6: Final answer
    x = 62,741.10

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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.