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Finding the Fourth Proportional to 32,829.49, 49,252.03 and 10,642.88

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Solution

The fourth proportional to 32,829.49, 49,252.03 and 10,642.88 is: 15,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.49 : 49,252.03 = 10,642.88 : x
  2. Step 2: Convert to fraction form
    32,829.49/49,252.03 = 10,642.88/x
  3. Step 3: Cross multiply
    32,829.49x = 49,252.03 × 10,642.88
  4. Step 4: Simplify right side
    32,829.49x = 524,183,445.05
  5. Step 5: Solve for x
    x = 524,183,445.05/32,829.49
  6. Step 6: Final answer
    x = 15,966.85

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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.