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Finding the Fourth Proportional to 130,503.72, 195,713.46 and 36,984.36

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Solution

The fourth proportional to 130,503.72, 195,713.46 and 36,984.36 is: 55,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,503.72 : 195,713.46 = 36,984.36 : x
  2. Step 2: Convert to fraction form
    130,503.72/195,713.46 = 36,984.36/x
  3. Step 3: Cross multiply
    130,503.72x = 195,713.46 × 36,984.36
  4. Step 4: Simplify right side
    130,503.72x = 7,238,337,061.49
  5. Step 5: Solve for x
    x = 7,238,337,061.49/130,503.72
  6. Step 6: Final answer
    x = 55,464.60

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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.