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Finding the Fourth Proportional to 32,885.01, 49,334.82 and 9,509.67

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Solution

The fourth proportional to 32,885.01, 49,334.82 and 9,509.67 is: 14,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,885.01 : 49,334.82 = 9,509.67 : x
  2. Step 2: Convert to fraction form
    32,885.01/49,334.82 = 9,509.67/x
  3. Step 3: Cross multiply
    32,885.01x = 49,334.82 × 9,509.67
  4. Step 4: Simplify right side
    32,885.01x = 469,157,857.71
  5. Step 5: Solve for x
    x = 469,157,857.71/32,885.01
  6. Step 6: Final answer
    x = 14,266.62

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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.