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Finding the Fourth Proportional to 32,527.24, 48,793.74 and 9,153.88

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Solution

The fourth proportional to 32,527.24, 48,793.74 and 9,153.88 is: 13,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527.24 : 48,793.74 = 9,153.88 : x
  2. Step 2: Convert to fraction form
    32,527.24/48,793.74 = 9,153.88/x
  3. Step 3: Cross multiply
    32,527.24x = 48,793.74 × 9,153.88
  4. Step 4: Simplify right side
    32,527.24x = 446,652,040.71
  5. Step 5: Solve for x
    x = 446,652,040.71/32,527.24
  6. Step 6: Final answer
    x = 13,731.63

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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.