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Finding the Fourth Proportional to 132,048.34, 197,984.88 and 47,797.48

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Solution

The fourth proportional to 132,048.34, 197,984.88 and 47,797.48 is: 71,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,048.34 : 197,984.88 = 47,797.48 : x
  2. Step 2: Convert to fraction form
    132,048.34/197,984.88 = 47,797.48/x
  3. Step 3: Cross multiply
    132,048.34x = 197,984.88 × 47,797.48
  4. Step 4: Simplify right side
    132,048.34x = 9,463,178,342.10
  5. Step 5: Solve for x
    x = 9,463,178,342.10/132,048.34
  6. Step 6: Final answer
    x = 71,664.50

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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.