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Finding the Fourth Proportional to 114,606.99, 171,977.40 and 48,042

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Solution

The fourth proportional to 114,606.99, 171,977.40 and 48,042 is: 72,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,606.99 : 171,977.40 = 48,042 : x
  2. Step 2: Convert to fraction form
    114,606.99/171,977.40 = 48,042/x
  3. Step 3: Cross multiply
    114,606.99x = 171,977.40 × 48,042
  4. Step 4: Simplify right side
    114,606.99x = 8,262,138,250.80
  5. Step 5: Solve for x
    x = 8,262,138,250.80/114,606.99
  6. Step 6: Final answer
    x = 72,091.05

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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.