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Finding the Fourth Proportional to 130,062.94, 195,094.42 and 36,568.69

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Solution

The fourth proportional to 130,062.94, 195,094.42 and 36,568.69 is: 54,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,062.94 : 195,094.42 = 36,568.69 : x
  2. Step 2: Convert to fraction form
    130,062.94/195,094.42 = 36,568.69/x
  3. Step 3: Cross multiply
    130,062.94x = 195,094.42 × 36,568.69
  4. Step 4: Simplify right side
    130,062.94x = 7,134,346,786.55
  5. Step 5: Solve for x
    x = 7,134,346,786.55/130,062.94
  6. Step 6: Final answer
    x = 54,853.03

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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.