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Finding the Fourth Proportional to 114,855.14, 172,282.71 and 35,969.78

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Solution

The fourth proportional to 114,855.14, 172,282.71 and 35,969.78 is: 53,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,855.14 : 172,282.71 = 35,969.78 : x
  2. Step 2: Convert to fraction form
    114,855.14/172,282.71 = 35,969.78/x
  3. Step 3: Cross multiply
    114,855.14x = 172,282.71 × 35,969.78
  4. Step 4: Simplify right side
    114,855.14x = 6,196,971,176.50
  5. Step 5: Solve for x
    x = 6,196,971,176.50/114,855.14
  6. Step 6: Final answer
    x = 53,954.67

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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.