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Finding the Fourth Proportional to 32,709.92, 49,065.06 and 11,650.76

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Solution

The fourth proportional to 32,709.92, 49,065.06 and 11,650.76 is: 17,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.92 : 49,065.06 = 11,650.76 : x
  2. Step 2: Convert to fraction form
    32,709.92/49,065.06 = 11,650.76/x
  3. Step 3: Cross multiply
    32,709.92x = 49,065.06 × 11,650.76
  4. Step 4: Simplify right side
    32,709.92x = 571,645,238.45
  5. Step 5: Solve for x
    x = 571,645,238.45/32,709.92
  6. Step 6: Final answer
    x = 17,476.20

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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.