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Finding the Fourth Proportional to 130,469.40, 195,706.08 and 36,975.06

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Solution

The fourth proportional to 130,469.40, 195,706.08 and 36,975.06 is: 55,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,469.40 : 195,706.08 = 36,975.06 : x
  2. Step 2: Convert to fraction form
    130,469.40/195,706.08 = 36,975.06/x
  3. Step 3: Cross multiply
    130,469.40x = 195,706.08 × 36,975.06
  4. Step 4: Simplify right side
    130,469.40x = 7,236,244,050.36
  5. Step 5: Solve for x
    x = 7,236,244,050.36/130,469.40
  6. Step 6: Final answer
    x = 55,463.15

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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.