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Finding the Fourth Proportional to 132,048.84, 197,985.63 and 47,797.98

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Solution

The fourth proportional to 132,048.84, 197,985.63 and 47,797.98 is: 71,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,048.84 : 197,985.63 = 47,797.98 : x
  2. Step 2: Convert to fraction form
    132,048.84/197,985.63 = 47,797.98/x
  3. Step 3: Cross multiply
    132,048.84x = 197,985.63 × 47,797.98
  4. Step 4: Simplify right side
    132,048.84x = 9,463,313,183.03
  5. Step 5: Solve for x
    x = 9,463,313,183.03/132,048.84
  6. Step 6: Final answer
    x = 71,665.25

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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.