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Finding the Fourth Proportional to 32,882.76, 49,324.14 and 10,698.38

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Solution

The fourth proportional to 32,882.76, 49,324.14 and 10,698.38 is: 16,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882.76 : 49,324.14 = 10,698.38 : x
  2. Step 2: Convert to fraction form
    32,882.76/49,324.14 = 10,698.38/x
  3. Step 3: Cross multiply
    32,882.76x = 49,324.14 × 10,698.38
  4. Step 4: Simplify right side
    32,882.76x = 527,688,331.24
  5. Step 5: Solve for x
    x = 527,688,331.24/32,882.76
  6. Step 6: Final answer
    x = 16,047.57

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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.