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Finding the Fourth Proportional to 32,757, 49,135.56 and 8,133

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Solution

The fourth proportional to 32,757, 49,135.56 and 8,133 is: 12,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,757 : 49,135.56 = 8,133 : x
  2. Step 2: Convert to fraction form
    32,757/49,135.56 = 8,133/x
  3. Step 3: Cross multiply
    32,757x = 49,135.56 × 8,133
  4. Step 4: Simplify right side
    32,757x = 399,619,509.48
  5. Step 5: Solve for x
    x = 399,619,509.48/32,757
  6. Step 6: Final answer
    x = 12,199.51

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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.