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Finding the Fourth Proportional to 130,070.97, 195,106.41 and 36,576.72

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Solution

The fourth proportional to 130,070.97, 195,106.41 and 36,576.72 is: 54,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,070.97 : 195,106.41 = 36,576.72 : x
  2. Step 2: Convert to fraction form
    130,070.97/195,106.41 = 36,576.72/x
  3. Step 3: Cross multiply
    130,070.97x = 195,106.41 × 36,576.72
  4. Step 4: Simplify right side
    130,070.97x = 7,136,352,528.78
  5. Step 5: Solve for x
    x = 7,136,352,528.78/130,070.97
  6. Step 6: Final answer
    x = 54,865.07

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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.