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Finding the Fourth Proportional to 106,960, 160,448.64 and 33,088

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Solution

The fourth proportional to 106,960, 160,448.64 and 33,088 is: 49,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,960 : 160,448.64 = 33,088 : x
  2. Step 2: Convert to fraction form
    106,960/160,448.64 = 33,088/x
  3. Step 3: Cross multiply
    106,960x = 160,448.64 × 33,088
  4. Step 4: Simplify right side
    106,960x = 5,308,924,600.32
  5. Step 5: Solve for x
    x = 5,308,924,600.32/106,960
  6. Step 6: Final answer
    x = 49,634.67

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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.