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Finding the Fourth Proportional to 130,007.25, 195,010.92 and 36,513

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Solution

The fourth proportional to 130,007.25, 195,010.92 and 36,513 is: 54,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,007.25 : 195,010.92 = 36,513 : x
  2. Step 2: Convert to fraction form
    130,007.25/195,010.92 = 36,513/x
  3. Step 3: Cross multiply
    130,007.25x = 195,010.92 × 36,513
  4. Step 4: Simplify right side
    130,007.25x = 7,120,433,721.96
  5. Step 5: Solve for x
    x = 7,120,433,721.96/130,007.25
  6. Step 6: Final answer
    x = 54,769.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.