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Finding the Fourth Proportional to 167,931.79, 251,930.91 and 47,989.82

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Solution

The fourth proportional to 167,931.79, 251,930.91 and 47,989.82 is: 71,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,931.79 : 251,930.91 = 47,989.82 : x
  2. Step 2: Convert to fraction form
    167,931.79/251,930.91 = 47,989.82/x
  3. Step 3: Cross multiply
    167,931.79x = 251,930.91 × 47,989.82
  4. Step 4: Simplify right side
    167,931.79x = 12,090,119,023.34
  5. Step 5: Solve for x
    x = 12,090,119,023.34/167,931.79
  6. Step 6: Final answer
    x = 71,994.22

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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.