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Finding the Fourth Proportional to 106,716.40, 160,097.48 and 31,842.42

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Solution

The fourth proportional to 106,716.40, 160,097.48 and 31,842.42 is: 47,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,716.40 : 160,097.48 = 31,842.42 : x
  2. Step 2: Convert to fraction form
    106,716.40/160,097.48 = 31,842.42/x
  3. Step 3: Cross multiply
    106,716.40x = 160,097.48 × 31,842.42
  4. Step 4: Simplify right side
    106,716.40x = 5,097,891,199.10
  5. Step 5: Solve for x
    x = 5,097,891,199.10/106,716.40
  6. Step 6: Final answer
    x = 47,770.46

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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.