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Finding the Fourth Proportional to 114,651.40, 172,001.40 and 34,682.80

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Solution

The fourth proportional to 114,651.40, 172,001.40 and 34,682.80 is: 52,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,651.40 : 172,001.40 = 34,682.80 : x
  2. Step 2: Convert to fraction form
    114,651.40/172,001.40 = 34,682.80/x
  3. Step 3: Cross multiply
    114,651.40x = 172,001.40 × 34,682.80
  4. Step 4: Simplify right side
    114,651.40x = 5,965,490,155.92
  5. Step 5: Solve for x
    x = 5,965,490,155.92/114,651.40
  6. Step 6: Final answer
    x = 52,031.55

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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.