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Finding the Fourth Proportional to 32,000.33, 48,007.32 and 12,278.72

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Solution

The fourth proportional to 32,000.33, 48,007.32 and 12,278.72 is: 18,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.33 : 48,007.32 = 12,278.72 : x
  2. Step 2: Convert to fraction form
    32,000.33/48,007.32 = 12,278.72/x
  3. Step 3: Cross multiply
    32,000.33x = 48,007.32 × 12,278.72
  4. Step 4: Simplify right side
    32,000.33x = 589,468,440.23
  5. Step 5: Solve for x
    x = 589,468,440.23/32,000.33
  6. Step 6: Final answer
    x = 18,420.70

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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.