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Finding the Fourth Proportional to 130,031.54, 195,054.60 and 36,530

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Solution

The fourth proportional to 130,031.54, 195,054.60 and 36,530 is: 54,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,031.54 : 195,054.60 = 36,530 : x
  2. Step 2: Convert to fraction form
    130,031.54/195,054.60 = 36,530/x
  3. Step 3: Cross multiply
    130,031.54x = 195,054.60 × 36,530
  4. Step 4: Simplify right side
    130,031.54x = 7,125,344,538
  5. Step 5: Solve for x
    x = 7,125,344,538/130,031.54
  6. Step 6: Final answer
    x = 54,797.05

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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.