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Finding the Fourth Proportional to 32,008.53, 48,012.84 and 8,634.99

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Solution

The fourth proportional to 32,008.53, 48,012.84 and 8,634.99 is: 12,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.53 : 48,012.84 = 8,634.99 : x
  2. Step 2: Convert to fraction form
    32,008.53/48,012.84 = 8,634.99/x
  3. Step 3: Cross multiply
    32,008.53x = 48,012.84 × 8,634.99
  4. Step 4: Simplify right side
    32,008.53x = 414,590,393.27
  5. Step 5: Solve for x
    x = 414,590,393.27/32,008.53
  6. Step 6: Final answer
    x = 12,952.50

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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.