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Finding the Fourth Proportional to 32,007.66, 48,004.65 and 12,279.30

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Solution

The fourth proportional to 32,007.66, 48,004.65 and 12,279.30 is: 18,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.66 : 48,004.65 = 12,279.30 : x
  2. Step 2: Convert to fraction form
    32,007.66/48,004.65 = 12,279.30/x
  3. Step 3: Cross multiply
    32,007.66x = 48,004.65 × 12,279.30
  4. Step 4: Simplify right side
    32,007.66x = 589,463,498.75
  5. Step 5: Solve for x
    x = 589,463,498.75/32,007.66
  6. Step 6: Final answer
    x = 18,416.33

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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.