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Finding the Fourth Proportional to 32,354.54, 48,477.96 and 11,282.96

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Solution

The fourth proportional to 32,354.54, 48,477.96 and 11,282.96 is: 16,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,354.54 : 48,477.96 = 11,282.96 : x
  2. Step 2: Convert to fraction form
    32,354.54/48,477.96 = 11,282.96/x
  3. Step 3: Cross multiply
    32,354.54x = 48,477.96 × 11,282.96
  4. Step 4: Simplify right side
    32,354.54x = 546,975,004.76
  5. Step 5: Solve for x
    x = 546,975,004.76/32,354.54
  6. Step 6: Final answer
    x = 16,905.67

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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.