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Finding the Fourth Proportional to 96,790.50, 145,191.22 and 34,461

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Solution

The fourth proportional to 96,790.50, 145,191.22 and 34,461 is: 51,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,790.50 : 145,191.22 = 34,461 : x
  2. Step 2: Convert to fraction form
    96,790.50/145,191.22 = 34,461/x
  3. Step 3: Cross multiply
    96,790.50x = 145,191.22 × 34,461
  4. Step 4: Simplify right side
    96,790.50x = 5,003,434,546.27
  5. Step 5: Solve for x
    x = 5,003,434,546.27/96,790.50
  6. Step 6: Final answer
    x = 51,693.45

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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.