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Finding the Fourth Proportional to 32,568.86, 48,820.08 and 12,836.46

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Solution

The fourth proportional to 32,568.86, 48,820.08 and 12,836.46 is: 19,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568.86 : 48,820.08 = 12,836.46 : x
  2. Step 2: Convert to fraction form
    32,568.86/48,820.08 = 12,836.46/x
  3. Step 3: Cross multiply
    32,568.86x = 48,820.08 × 12,836.46
  4. Step 4: Simplify right side
    32,568.86x = 626,677,004.12
  5. Step 5: Solve for x
    x = 626,677,004.12/32,568.86
  6. Step 6: Final answer
    x = 19,241.60

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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.