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Finding the Fourth Proportional to 32,274.04, 48,430 and 13,552.64

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Solution

The fourth proportional to 32,274.04, 48,430 and 13,552.64 is: 20,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274.04 : 48,430 = 13,552.64 : x
  2. Step 2: Convert to fraction form
    32,274.04/48,430 = 13,552.64/x
  3. Step 3: Cross multiply
    32,274.04x = 48,430 × 13,552.64
  4. Step 4: Simplify right side
    32,274.04x = 656,354,355.20
  5. Step 5: Solve for x
    x = 656,354,355.20/32,274.04
  6. Step 6: Final answer
    x = 20,336.91

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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.