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Finding the Fourth Proportional to 114,939.08, 172,411.50 and 31,833.80

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Solution

The fourth proportional to 114,939.08, 172,411.50 and 31,833.80 is: 47,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,939.08 : 172,411.50 = 31,833.80 : x
  2. Step 2: Convert to fraction form
    114,939.08/172,411.50 = 31,833.80/x
  3. Step 3: Cross multiply
    114,939.08x = 172,411.50 × 31,833.80
  4. Step 4: Simplify right side
    114,939.08x = 5,488,513,208.70
  5. Step 5: Solve for x
    x = 5,488,513,208.70/114,939.08
  6. Step 6: Final answer
    x = 47,751.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.