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Finding the Fourth Proportional to 32,000.39, 48,000.87 and 12,274.28

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Solution

The fourth proportional to 32,000.39, 48,000.87 and 12,274.28 is: 18,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.39 : 48,000.87 = 12,274.28 : x
  2. Step 2: Convert to fraction form
    32,000.39/48,000.87 = 12,274.28/x
  3. Step 3: Cross multiply
    32,000.39x = 48,000.87 × 12,274.28
  4. Step 4: Simplify right side
    32,000.39x = 589,175,878.62
  5. Step 5: Solve for x
    x = 589,175,878.62/32,000.39
  6. Step 6: Final answer
    x = 18,411.52

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1.5x scale

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.