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Finding the Fourth Proportional to 130,632, 195,948.96 and 32,136

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Solution

The fourth proportional to 130,632, 195,948.96 and 32,136 is: 48,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,632 : 195,948.96 = 32,136 : x
  2. Step 2: Convert to fraction form
    130,632/195,948.96 = 32,136/x
  3. Step 3: Cross multiply
    130,632x = 195,948.96 × 32,136
  4. Step 4: Simplify right side
    130,632x = 6,297,015,778.56
  5. Step 5: Solve for x
    x = 6,297,015,778.56/130,632
  6. Step 6: Final answer
    x = 48,204.24

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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.