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Finding the Fourth Proportional to 32,862.96, 49,284 and 10,671.21

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Solution

The fourth proportional to 32,862.96, 49,284 and 10,671.21 is: 16,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.96 : 49,284 = 10,671.21 : x
  2. Step 2: Convert to fraction form
    32,862.96/49,284 = 10,671.21/x
  3. Step 3: Cross multiply
    32,862.96x = 49,284 × 10,671.21
  4. Step 4: Simplify right side
    32,862.96x = 525,919,913.64
  5. Step 5: Solve for x
    x = 525,919,913.64/32,862.96
  6. Step 6: Final answer
    x = 16,003.42

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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.