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Finding the Fourth Proportional to 32,011.03, 48,011.07 and 8,632

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Solution

The fourth proportional to 32,011.03, 48,011.07 and 8,632 is: 12,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.03 : 48,011.07 = 8,632 : x
  2. Step 2: Convert to fraction form
    32,011.03/48,011.07 = 8,632/x
  3. Step 3: Cross multiply
    32,011.03x = 48,011.07 × 8,632
  4. Step 4: Simplify right side
    32,011.03x = 414,431,556.24
  5. Step 5: Solve for x
    x = 414,431,556.24/32,011.03
  6. Step 6: Final answer
    x = 12,946.52

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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.