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Finding the Fourth Proportional to 114,799.88, 172,209.74 and 31,693.88

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Solution

The fourth proportional to 114,799.88, 172,209.74 and 31,693.88 is: 47,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,799.88 : 172,209.74 = 31,693.88 : x
  2. Step 2: Convert to fraction form
    114,799.88/172,209.74 = 31,693.88/x
  3. Step 3: Cross multiply
    114,799.88x = 172,209.74 × 31,693.88
  4. Step 4: Simplify right side
    114,799.88x = 5,457,994,834.39
  5. Step 5: Solve for x
    x = 5,457,994,834.39/114,799.88
  6. Step 6: Final answer
    x = 47,543.56

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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.