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Finding the Fourth Proportional to 32,008.02, 48,014.59 and 8,634.12

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Solution

The fourth proportional to 32,008.02, 48,014.59 and 8,634.12 is: 12,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.02 : 48,014.59 = 8,634.12 : x
  2. Step 2: Convert to fraction form
    32,008.02/48,014.59 = 8,634.12/x
  3. Step 3: Cross multiply
    32,008.02x = 48,014.59 × 8,634.12
  4. Step 4: Simplify right side
    32,008.02x = 414,563,731.81
  5. Step 5: Solve for x
    x = 414,563,731.81/32,008.02
  6. Step 6: Final answer
    x = 12,951.87

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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.