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Finding the Fourth Proportional to 32,756.34, 49,134.51 and 8,132.34

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Solution

The fourth proportional to 32,756.34, 49,134.51 and 8,132.34 is: 12,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,756.34 : 49,134.51 = 8,132.34 : x
  2. Step 2: Convert to fraction form
    32,756.34/49,134.51 = 8,132.34/x
  3. Step 3: Cross multiply
    32,756.34x = 49,134.51 × 8,132.34
  4. Step 4: Simplify right side
    32,756.34x = 399,578,541.05
  5. Step 5: Solve for x
    x = 399,578,541.05/32,756.34
  6. Step 6: Final answer
    x = 12,198.51

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1.5x scale

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.