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Finding the Fourth Proportional to 32,645, 48,968.46 and 8,021

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Solution

The fourth proportional to 32,645, 48,968.46 and 8,021 is: 12,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,645 : 48,968.46 = 8,021 : x
  2. Step 2: Convert to fraction form
    32,645/48,968.46 = 8,021/x
  3. Step 3: Cross multiply
    32,645x = 48,968.46 × 8,021
  4. Step 4: Simplify right side
    32,645x = 392,776,017.66
  5. Step 5: Solve for x
    x = 392,776,017.66/32,645
  6. Step 6: Final answer
    x = 12,031.74

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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.