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Finding the Fourth Proportional to 130,560, 195,843.84 and 32,064

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Solution

The fourth proportional to 130,560, 195,843.84 and 32,064 is: 48,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,560 : 195,843.84 = 32,064 : x
  2. Step 2: Convert to fraction form
    130,560/195,843.84 = 32,064/x
  3. Step 3: Cross multiply
    130,560x = 195,843.84 × 32,064
  4. Step 4: Simplify right side
    130,560x = 6,279,536,885.76
  5. Step 5: Solve for x
    x = 6,279,536,885.76/130,560
  6. Step 6: Final answer
    x = 48,096.94

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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.