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Finding the Fourth Proportional to 32,001.90, 48,005.40 and 8,628

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Solution

The fourth proportional to 32,001.90, 48,005.40 and 8,628 is: 12,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.90 : 48,005.40 = 8,628 : x
  2. Step 2: Convert to fraction form
    32,001.90/48,005.40 = 8,628/x
  3. Step 3: Cross multiply
    32,001.90x = 48,005.40 × 8,628
  4. Step 4: Simplify right side
    32,001.90x = 414,190,591.20
  5. Step 5: Solve for x
    x = 414,190,591.20/32,001.90
  6. Step 6: Final answer
    x = 12,942.69

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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.