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Finding the Fourth Proportional to 130,010.56, 195,023.10 and 36,509

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Solution

The fourth proportional to 130,010.56, 195,023.10 and 36,509 is: 54,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,010.56 : 195,023.10 = 36,509 : x
  2. Step 2: Convert to fraction form
    130,010.56/195,023.10 = 36,509/x
  3. Step 3: Cross multiply
    130,010.56x = 195,023.10 × 36,509
  4. Step 4: Simplify right side
    130,010.56x = 7,120,098,357.90
  5. Step 5: Solve for x
    x = 7,120,098,357.90/130,010.56
  6. Step 6: Final answer
    x = 54,765.54

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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.