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Finding the Fourth Proportional to 32,389.76, 48,563.87 and 13,664.69

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Solution

The fourth proportional to 32,389.76, 48,563.87 and 13,664.69 is: 20,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,389.76 : 48,563.87 = 13,664.69 : x
  2. Step 2: Convert to fraction form
    32,389.76/48,563.87 = 13,664.69/x
  3. Step 3: Cross multiply
    32,389.76x = 48,563.87 × 13,664.69
  4. Step 4: Simplify right side
    32,389.76x = 663,610,228.75
  5. Step 5: Solve for x
    x = 663,610,228.75/32,389.76
  6. Step 6: Final answer
    x = 20,488.27

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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.