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Finding the Fourth Proportional to 49,020, 67,671.36 and 32,881.44

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Solution

The fourth proportional to 49,020, 67,671.36 and 32,881.44 is: 45,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,020 : 67,671.36 = 32,881.44 : x
  2. Step 2: Convert to fraction form
    49,020/67,671.36 = 32,881.44/x
  3. Step 3: Cross multiply
    49,020x = 67,671.36 × 32,881.44
  4. Step 4: Simplify right side
    49,020x = 2,225,131,763.56
  5. Step 5: Solve for x
    x = 2,225,131,763.56/49,020
  6. Step 6: Final answer
    x = 45,392.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.