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Finding the Fourth Proportional to 32,536.45, 48,821.01 and 12,829.15

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Solution

The fourth proportional to 32,536.45, 48,821.01 and 12,829.15 is: 19,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536.45 : 48,821.01 = 12,829.15 : x
  2. Step 2: Convert to fraction form
    32,536.45/48,821.01 = 12,829.15/x
  3. Step 3: Cross multiply
    32,536.45x = 48,821.01 × 12,829.15
  4. Step 4: Simplify right side
    32,536.45x = 626,332,060.44
  5. Step 5: Solve for x
    x = 626,332,060.44/32,536.45
  6. Step 6: Final answer
    x = 19,250.17

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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.