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Finding the Fourth Proportional to 32,199.40, 48,281.82 and 10,003.24

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Solution

The fourth proportional to 32,199.40, 48,281.82 and 10,003.24 is: 14,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.40 : 48,281.82 = 10,003.24 : x
  2. Step 2: Convert to fraction form
    32,199.40/48,281.82 = 10,003.24/x
  3. Step 3: Cross multiply
    32,199.40x = 48,281.82 × 10,003.24
  4. Step 4: Simplify right side
    32,199.40x = 482,974,633.10
  5. Step 5: Solve for x
    x = 482,974,633.10/32,199.40
  6. Step 6: Final answer
    x = 14,999.49

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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.