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Finding the Fourth Proportional to 96,971.40, 145,380.30 and 53,195.40

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Solution

The fourth proportional to 96,971.40, 145,380.30 and 53,195.40 is: 79,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,971.40 : 145,380.30 = 53,195.40 : x
  2. Step 2: Convert to fraction form
    96,971.40/145,380.30 = 53,195.40/x
  3. Step 3: Cross multiply
    96,971.40x = 145,380.30 × 53,195.40
  4. Step 4: Simplify right side
    96,971.40x = 7,733,563,210.62
  5. Step 5: Solve for x
    x = 7,733,563,210.62/96,971.40
  6. Step 6: Final answer
    x = 79,750.97

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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.