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Finding the Fourth Proportional to 32,850.56, 49,276.76 and 9,477

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Solution

The fourth proportional to 32,850.56, 49,276.76 and 9,477 is: 14,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850.56 : 49,276.76 = 9,477 : x
  2. Step 2: Convert to fraction form
    32,850.56/49,276.76 = 9,477/x
  3. Step 3: Cross multiply
    32,850.56x = 49,276.76 × 9,477
  4. Step 4: Simplify right side
    32,850.56x = 466,995,807.14
  5. Step 5: Solve for x
    x = 466,995,807.14/32,850.56
  6. Step 6: Final answer
    x = 14,215.76

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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.