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Finding the Fourth Proportional to 114,939.83, 172,416.22 and 34,980.40

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Solution

The fourth proportional to 114,939.83, 172,416.22 and 34,980.40 is: 52,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,939.83 : 172,416.22 = 34,980.40 : x
  2. Step 2: Convert to fraction form
    114,939.83/172,416.22 = 34,980.40/x
  3. Step 3: Cross multiply
    114,939.83x = 172,416.22 × 34,980.40
  4. Step 4: Simplify right side
    114,939.83x = 6,031,188,342.09
  5. Step 5: Solve for x
    x = 6,031,188,342.09/114,939.83
  6. Step 6: Final answer
    x = 52,472.57

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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.