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Finding the Fourth Proportional to 32,765.45, 49,148.16 and 8,141.45

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Solution

The fourth proportional to 32,765.45, 49,148.16 and 8,141.45 is: 12,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.45 : 49,148.16 = 8,141.45 : x
  2. Step 2: Convert to fraction form
    32,765.45/49,148.16 = 8,141.45/x
  3. Step 3: Cross multiply
    32,765.45x = 49,148.16 × 8,141.45
  4. Step 4: Simplify right side
    32,765.45x = 400,137,041.49
  5. Step 5: Solve for x
    x = 400,137,041.49/32,765.45
  6. Step 6: Final answer
    x = 12,212.17

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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.