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Finding the Fourth Proportional to 32,650.56, 48,969 and 9,270.72

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Solution

The fourth proportional to 32,650.56, 48,969 and 9,270.72 is: 13,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650.56 : 48,969 = 9,270.72 : x
  2. Step 2: Convert to fraction form
    32,650.56/48,969 = 9,270.72/x
  3. Step 3: Cross multiply
    32,650.56x = 48,969 × 9,270.72
  4. Step 4: Simplify right side
    32,650.56x = 453,977,887.68
  5. Step 5: Solve for x
    x = 453,977,887.68/32,650.56
  6. Step 6: Final answer
    x = 13,904.14

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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.