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Finding the Fourth Proportional to 36,432.80, 54,658.80 and 13,056.80

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Solution

The fourth proportional to 36,432.80, 54,658.80 and 13,056.80 is: 19,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,432.80 : 54,658.80 = 13,056.80 : x
  2. Step 2: Convert to fraction form
    36,432.80/54,658.80 = 13,056.80/x
  3. Step 3: Cross multiply
    36,432.80x = 54,658.80 × 13,056.80
  4. Step 4: Simplify right side
    36,432.80x = 713,669,019.84
  5. Step 5: Solve for x
    x = 713,669,019.84/36,432.80
  6. Step 6: Final answer
    x = 19,588.64

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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.