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Finding the Fourth Proportional to 32,199.84, 48,285.12 and 10,006.56

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Solution

The fourth proportional to 32,199.84, 48,285.12 and 10,006.56 is: 15,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.84 : 48,285.12 = 10,006.56 : x
  2. Step 2: Convert to fraction form
    32,199.84/48,285.12 = 10,006.56/x
  3. Step 3: Cross multiply
    32,199.84x = 48,285.12 × 10,006.56
  4. Step 4: Simplify right side
    32,199.84x = 483,167,950.39
  5. Step 5: Solve for x
    x = 483,167,950.39/32,199.84
  6. Step 6: Final answer
    x = 15,005.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.