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Finding the Fourth Proportional to 32,507.28, 48,762.81 and 9,135.54

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Solution

The fourth proportional to 32,507.28, 48,762.81 and 9,135.54 is: 13,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.28 : 48,762.81 = 9,135.54 : x
  2. Step 2: Convert to fraction form
    32,507.28/48,762.81 = 9,135.54/x
  3. Step 3: Cross multiply
    32,507.28x = 48,762.81 × 9,135.54
  4. Step 4: Simplify right side
    32,507.28x = 445,474,601.27
  5. Step 5: Solve for x
    x = 445,474,601.27/32,507.28
  6. Step 6: Final answer
    x = 13,703.84

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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.