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Finding the Fourth Proportional to 32,768.40, 49,031.10 and 24,020.40

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Solution

The fourth proportional to 32,768.40, 49,031.10 and 24,020.40 is: 35,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.40 : 49,031.10 = 24,020.40 : x
  2. Step 2: Convert to fraction form
    32,768.40/49,031.10 = 24,020.40/x
  3. Step 3: Cross multiply
    32,768.40x = 49,031.10 × 24,020.40
  4. Step 4: Simplify right side
    32,768.40x = 1,177,746,634.44
  5. Step 5: Solve for x
    x = 1,177,746,634.44/32,768.40
  6. Step 6: Final answer
    x = 35,941.54

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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.